Books and Special Issues

• Editor of the book “Equilibrium Problems and Variational Models”, Kluwer Academic Publishers, in collaboration with F. Giannessi – A. Maugeri, 2002.
• Author of the book “Dynamic Networks and Evolutionary Variational Inequalities”, Edward Elgar Publishing, 2006.
• Co-editor of the Special Issue of the Journal of Convex Analysis “Variational Analysis and Applications in Erice 2015”, 2018 (2), together with F. Giannessi and M. Théra.
• Co-editor of the Special Issue of the Journal of Global Optimization “Variational Inequalities, Nash Equilibrium Problems and Applications”, 2013, vol. 56(4), together with S. Battiato, G.M. Farinella, S. Giuffrè, L. Scrimali.
• Co-editor of the volume “Optimization and Decision Science: New trends in Emerging Complex Real Life Problems”, AIRO Springer Series, 2018, together with L. Scrimali.
• Co-editor of the Special Issue of the journal Networks and Spatial Economics “Variational Inequalities, Nash Equilibrium Problems and Applications”, 2022, vol.  22(2), together with S. Giuffrè, L. Scrimali.

 

Book Chapters

• P. Daniele, A. Maugeri, “Vector Variational Inequalities and Modelling of a Continuum Traffic Equilibrium Problem”, Vector Variational Inequalities and Vector Equilibria, F. Giannessi Ed., Vol. 38, 2000, 97-111.
• P. Daniele, “Variational Inequalities for Static Equilibrium Market. Lagrangean Function and Duality”, Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, Kluwer Academic Publishers, F. Giannessi – A. Maugeri – P. Pardalos Eds., 2001, 43-58.
• P. Daniele, A. Maugeri, “On Dynamical Equilibrium Problems and Variational Inequalities”, Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models, Kluwer Academic Publishers, F. Giannessi – A. Maugeri – P. Pardalos Eds., 2001, 59-69.
• P.Daniele, A. Maugeri, “Equilibrium Problems and Variational Inequalities: a Continuum Transportation Model”, Computational fluid and solid mechanics, Vol. 1, 2 (Cambridge, MA, 2001), Elsevier, Amsterdam, 2001, 1543-1545.
• P. Daniele, G. Idone, A. Maugeri, “The Continuum Model of Transportation Problem”, Equilibrium Problems and Variational Models, Kluwer Academic Publishers, P. Daniele – F. Giannessi – A. Maugeri Eds., 2002, 53-60.
• P. Daniele, A. Maugeri, “The economic Model for Demand-Supply Problems”, Equilibrium Problems and Variational Models, Kluwer Academic Publishers, P. Daniele – F. Giannessi – A. Maugeri Eds., 2002, 61-78.
• P. Daniele, “Variational Inequalities for Evolutionary Financial Equilibrium”, Innovations in Financial and Economic Networks, A. Nagurney Ed., 2003, 84-108.
• P. Daniele, “Variational Inequalities for General Evolutionary Financial Equilibrium”, in Variational Analysis and Applications, F. Giannessi – A. Maugeri Eds., Springer Verlag, 2005, 279-299.
• G. Cojocaru, P. Daniele, A. Nagurney, “Projected Dynamical Systems, Evolutionary Variational Inequalities, Applications, and a Computational Procedure”, in Pareto Optimality, Game Theory and Equilibria, A. Chinchuluun – A. Migdalas – P.M. Pardalos – L. Pitsoulis Eds., Nonconvex Optimization and its Applications Series (NOIA), Springer, Berlin, Germany, 2008, 803-836.
• P. Daniele, S. Giuffré, A. Maugeri, S. Pia, “A panoramic View on Projected Dynamical Systems”, in Nonlinear Analysis and Variational Problems – In Honor of George Isac, P.M. Pardalos – Th.M. Rassias – A.A. Khan Eds., 35, Springer, 2010, 235–258.
• A. Barbagallo, P. Daniele, M. Lorino, A. Maugeri, C. Mirabella, “A Variational Approach to the Evolutionary Financial Equilibrium Problem with Memory Terms and Adaptive Constraints”, in Network Models in Economics and Finance, V.A. Kalyagin et al. (eds.), Switzerland, 2014, 13-24.
• P. Daniele, S. Giuffré, M. Lorino, A. Maugeri, C. Mirabella, “Functional Inequalities and Analysis of Contagion in the Financial Networks”, in Handbook of Functional Equations – Functional Inequalities, T.M. Rassias et al. (eds.), 95, 2014, 129-146.
• P. Daniele, S. Giuffré, A. Maugeri, “General Traffic Equilibrium Problem with Uncertainty and Random Variational Inequalities”, in Optimization in Science and Engineering: In Honor of the 60th Birthday of Panos M. Pardalos, T.M. Rassias et al. (eds.), New York, 2014, 89-96.
• P. Daniele, A. Maugeri, A. Nagurney, “Cybersecurity Investments with Nonlinear Budget Constraints: Analysis of the Marginal Expected Utilities”, in Operations Research, Engineering, and Cyber Security, Vol. 113, Springer Optimization and Its Applications, N.J. Daras, T.M. Rassias (eds.), 2017, 117-134.
• A. Nagurney, P. Daniele, E. Alvarez Flores, V. Caruso, “A Variational Equilibrium Network Framework for Humanitarian Organizations in Disaster Relief: Effective Product Delivery Under Competition for Financial Funds”, in Dynamics of Disasters, Ilias S. Kotsireas, Anna Nagurney, and Panos M. Pardalos, Editors, Springer Optimization and Its Applications, 140, 2018, 109-133.
• G. Colajanni, P. Daniele, S. Giuffrè, A Maugeri, “Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity”, in Applications of Nonlinear Analysis, T.M. Rassias Ed., Springer Optimization and Its Applications, 2018, 101-139.
• G. Colajanni, P. Daniele, “A Financial Optimization Model with Short Selling”, in Optimization and Decision Science: New trends in Emerging Complex Real Life Problems, AIRO Springer Series, 2018, 189-197.
• P. Daniele, L. Scrimali, “Strong Nash Equilibria for Cybersecurity Investments with Nonlinear Budget Constraints”, in Optimization and Decision Science: New trends in Emerging Complex Real Life Problems, AIRO Springer Series, 2018, 199-207.
• G. Colajanni, P. Daniele, “A Financial Model for a Multi-Period Portfolio Optimization Problem with a variational formulation”, in: Variational Analysis and Set Optimization: Developments and Applications in Decision Making, A. Khan, E. Köbis, C. Tammer Eds., 2019, 31-53.
• G. Cappello, P. Daniele, S. Giuffrè, A Maugeri, “A variational approach to the financial problem with insolvencies and analysis of the contagion”, In: Rassias T., Pardalos P. (eds) Mathematical Analysis and Applications. Springer Optimization and Its Applications, 154, Cham, 2019, 17-40.
• G. Cappello, P. Daniele, “A Variational Formulation for a Human Migration Problem”, In: M. Paolucci et al. (eds.), Advances in Optimization and Decision Science for Society, Services and Enterprises, AIRO Springer Series, 2020, 185-195.
• A. Nagurney, P. Daniele, G. Cappello, “Capacitated Human Migration Networks and Subsidization”, accepted for publication in: Dynamics of Disasters – Impact, Risk, Resilience, and Solutions, I.S. Kotsireas, A. Nagurney, P.M. Pardalos, and A. Tsokas, Editors, Springer Optimization and Its Applications 169, Switzerland, 2021, 195-217.
• G. Colajanni, P. Daniele, “An Optimization Model for a Network of Organ Transplants with Uncertain Availability”, in: Rassias T.M., Pardalos P.M. (eds) Nonlinear Analysis and Global Optimization, Springer Optimization and Its Applications 167, Cham, 2021, 163-182.
• P. Daniele, O. Naselli, L. Scrimali, “An optimization model for the evacuation time in the presence of delay”, in: Cerulli R., Dell’Amico M., Guerriero F., Pacciarelli D., Sforza A. (eds.), Optimization and Decision Science 2020, AIRO Springer Series, 2021, 191-202.
• G. Cappello, P. Daniele, F. Perea, “A Heuristic Approach for the Human Migration Problem”, in: Cerulli R., Dell’Amico M., Guerriero F., Pacciarelli D., Sforza A. (eds.), Optimization and Decision Science 2020, AIRO Springer Series, 2021, 165-180.
• G. Colajanni, P. Daniele, V. Biazzo, “An Optimization Model for Managing Reagents and Swab Testing During the COVID-19 Pandemic”, in: Cerulli R., Dell’Amico M., Guerriero F., Pacciarelli D., Sforza A. (eds.), Optimization and Decision Science 2020, AIRO Springer Series, 2021, 65-77.
• S. Battiato, P. Daniele, G.M. Farinella, S. Giuffrè, G. Lax, L. Scrimali, Editorial Paper of the Special Issue on “Variational Inequalities, Nash Equilibrium Problems and Applications”, Networks and Spatial Economics, 2022, 22(2), 203-204.
• P. Daniele, D. Sciacca, “A Two-Stage Variational Inequality Formulation for a Game Theory Network Model for Hospitalization in Critic Scenarios”, In: Amorosi, L., Dell’Olmo, P., Lari, I. (eds), Optimization in Artificial Intelligence and Data Sciences, AIRO Springer Series, 2022, 8, 13-26.
• G. Colajanni, P. Daniele, D. Sciacca, “A Game Theory Model for the award of a Public Tender Procedure“. in Analysis, Geometry, Nonlinear Optimization and Applications, Eds. P.M. Pardalos and T.M. Rassias, 2023, 189-213.

Papers 

• P. Daniele, “Dual Variational Inequality and Applications to asymmetric traffic equilibrium problem with capacity constraints”, “Equilibrium Problems with Side Constraints. Lagrangean Theory and Duality”, F. Giannessi – A. Maugeri editors, Le Matematiche, 49, 1994, 211-222.
• P. Daniele, “A remark on a dynamic model of a Quasi-Variational Inequality”, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 48, 1997, 91-100.
• P. Daniele, “Duality Theory for Variational Inequalities”, Communications in Applied Analysis 1, no. 2, 1997, 257-267.
• P. Daniele, A. Maugeri e W. Oettli “Variational Inequalities and Time-dependent traffic equilibria”, C. R. Acad. Sci, Paris, t. 326, serie 1, 1998, 1059-1062.
• P. Daniele, A. Maugeri, W. Oettli, “Time-dependent traffic equilibria”, Jou. Optim. Th. Appl., Vol. 103, No. 3, 1999, 543-555.
• P. Daniele, “Lagrangean Function for Dynamic Variational Inequalities”, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 58, 1999, 101-119.
• P. Daniele, A. Maugeri, “Variational Inequalities and Discrete Continuum Models of Network Equilibrium Problems”, Mathematical and Computer Modelling 35, 2002, 689-708.
• P. Daniele, “Evolutionary Variational Inequalities and Economic Models for Demand Supply Markets”, M³AS: Mathematical Models and Methods in Applied Sciences, 4 (13), 2003, 471-489.
• P. Daniele, G. Idone, A. Maugeri, “Variational Inequalities and the Continuum Model of Transportation Problem”, International Journal of Nonlinear Sciences and Numerical Simulation 4, 2003, 11-16.
• P. Daniele, “Time-Dependent Spatial Price Equilibrium Problem: Existence and Stability Results for the Quantity Formulation Model”, Journal of Global Optimization, 28, 2004, 283-295.
• G. Cojocaru, P. Daniele, A. Nagurney, “Projected Dynamical Systems and Evolutionary Variational Inequalities via Hilbert Spaces and Applications”, Jou. Optim. Th. Appl., 27, no. 3, 2005, 1-15.
• G. Cojocaru, P. Daniele, A. Nagurney, “Double-layered dynamics: a unified theory of projected dynamical systems and evolutionary variational inequalities”, European Journal of Operational Research, 175, 1, 2006, 494-507.
• P.Daniele, S. Giuffrè, S. Pia, “Competitive Financial Equilibrium Problems with Policy Interventions”, Journal of Industrial and Management Optimization, Vol. 1, no.1, 2005, 39-52.
• P. Daniele, “Evolutionary Variational Inequalities Applied to Financial Equilibrium Problems in an Environment of Risk and Uncertainty”, Nonlinear Analysis, 63, 2005, 1645-1653.
• A. Nagurney, Z. Liu, M.G. Cojocaru, P. Daniele, “Dynamic Electric Power Supply Chains and Transportation Networks: An Evolutionary Variational Inequality Formulation”, Transportation Research E., 43, 2007, 624-646.
• P. Daniele, S. Giuffrè, “General Infinite Dimensional Duality Theory and Applications to Evolutionary Network Equilibrium problems”, Optimization Letters, 1(3), 2007, 227-243.
• A. Nagurney, D. Parkes, P. Daniele, “The Internet, Evolutionary Variational Inequalities, and the Time-Dependent Braess Paradox”, Computational Management Science, 4, 2007, 243-281.
• P. Daniele, S. Giuffrè, G. Idone, A. Maugeri, “Infinite Dimensional Duality and Applications”, Mathematische Annalen, 339 (1), 2007, 221-239.
• P. Daniele, “Lagrange Multipliers and Infinite-Dimensional Equilibrium Problems”, Journal of Global Optimization, 40 (1), 2008, 65-70.
• P. Daniele, S. Giuffrè, A. Maugeri, “Remarks on General Infinite Dimensional Duality with Cone and Equality Constraints”, Communications in Applied Analysis, 13 (4), 2009, 567-578.
• P. Daniele, “Evolutionary Variational Inequalities and Applications to Complex Dynamic Multi-level Models”, Transport. Res. Part E, 46, 2010, 855-880.
• A. Barbagallo, P. Daniele, A. Maugeri, “Variational Formulation for a General Dynamic Financial Problem: Balance Law and Liability Formula”, Nonlinear Analysis: Theory, Methods & Applications, 75, 2012, 1104-1123.
• A. Barbagallo, P. Daniele, M. Lorino, A. Maugeri, C. Mirabella, “Further Results for General Financial Equilibrium Problems via Variational Inequalities”, Journal of Mathematical Finance, 3, 2013, 33–52.
• F. Toyasaki, P. Daniele, T. Wakolbinger, “A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints”, European Journal of Operational Research, 236, 1, 2014, 340-350.
• A. Barbagallo, P. Daniele, S. Giuffré, A. Maugeri, “Variational approach for a general financial equilibrium problem: The Deficit Formula, the Balance Law and the Liability Formula. A path to the economy recovery”, European Journal of Operational Research, 237, 1, 2014, 231–244.
• P. Daniele, S. Giuffrè, A. Maugeri, F. Raciti,“Duality Theory and Applications to Unilateral Problems”, J. Optim. Theory Appl., 162, 2014, 718-734.
• P. Daniele, S. Giuffré, “Random Variational Inequalities and the Random Traffic Equilibrium Problem”, Jou. Optim. Th. Appl., 167, 2015, 363-381.
• P. Daniele, S. Giuffrè, M. Lorino, “Functional inequalities, regularity and computation of the deficit and surplus variables in the financial equilibrium problem”, Journal of Global Optimization, 65, 2016, 575-596.
• C. Ciarcià, P. Daniele, “New existence theorems for quasi-variational inequalities and applications to financial models”, European Journal of Operational Research, 251, 2016, 288-299.
• A. Nagurney, P. Daniele, S. Shukla, “A supply chain network game theory model of cybersecurity investments with nonlinear budget constraints”, Ann. Oper. Res., 248, 2017, 405-427.
• P. Daniele, M. Lorino, C. Mirabella, “The Financial Equilibrium Problem with a Markowitz-Type Memory Term and Adaptive Constraints”, J. Optim. Theory Appl., 171, 2016, 276-296, DOI 10.1007/s10957-016-0973-3.
• G. Colajanni, P. Daniele, “A Convex Optimization Model for Business Management”, Journal of Convex Analysis, 25(2), 2018.
• V. Caruso, P. Daniele, “A network model for minimizing the total organ transplant costs”, European Journal of Operational Research, 266, 2018, 652-662.
• G. Colajanni, P. Daniele, S. Giuffrè, A. Nagurney, “Cybersecurity Investments with Nonlinear Budget Constraints and Conservation Laws: Variational Equilibrium, Marginal Expected Utilities, and Lagrange Multipliers”, International Transactions in Operational Research, 25(5), 2018, 1443-1464.
• S. Battiato, P. Daniele, G.M. Farinella, S. Giuffrè, L.R.M. Scrimali, “Preface”, Journal of Global Optimization, 70(2), 2018, 307.
• T. Gossler, T. Wakolbinger, A. Nagurney, P. Daniele, “How to increase the impact of disaster relief: A study of transportation rates, framework agreements and product distribution”, European Journal of Operational Research 274(1), 2019, 126-141.
• G. Colajanni, P. Daniele, “A mathematical network model and a solution algorithm for IaaS Cloud Computing”, Networks and Spatial Economics, 2022, 22(2), 267-287.
• A. Nagurney, M. Salarpour, P. Daniele, “An Integrated Financial and Logistical Game Theory Model for Humanitarian Organizations with Purchasing Costs, Multiple Freight Service Providers, and Budget, Capacity, and Demand Constraints”, International Journal of Production Economics, 212, 2019, 212-226.
• G. Colajanni, P. Daniele, “A new model for Curriculum-based University Course Timetabling”, Optimization Letters, 15(5), 2021, 1601-1616.
• G. Colajanni, P. Daniele, D. Sciacca, “A projected dynamic system associated with a cybersecurity investment model with budget constraints and fixed demands”, J. Nonlinear Var. Anal. 4 (1), 2020, 45-61.
• A. Nagurney, P. Daniele, “International Human Migration Networks Under Regulations”, European Journal of Operational Research 291, 2021, 894-905.
• A. Nagurney, P. Daniele, G. Cappello, “Human migration networks and policy interventions: bringing population distributions in line with system optimization”, Intl. Trans. in Op. Res. 28(1), 2021, 5-26.
• A. Nagurney, P. Daniele, L.S. Nagurney, “Refugee Migration Networks and Regulations: A Multiclass, Multipath Variational Inequality Framework”, Journal of Global Optimization 78(3), 2020, 627-649.
• G. Cappello, P. Daniele, A. Nagurney, “A System-Optimization Model for Multiclass Human Migration with Migration Costs and Regulations Inspired by the Covid-19 Pandemic”, Minimax Theory and its Applications 6(2), 2021, 281–294.
• P. Daniele, L. Scrimali, “Preface”, Optimization Letters 15(5), 2021, 1507-1508.
• P. Daniele, D. Sciacca, “An optimization model for the management of green areas”, Intl. Trans. in Op. Res. 28(6), 2021, 3094-3116.
• P. Daniele, D. Sciacca, “A Dynamic Supply Chain Network for PPE during the COVID-19 Pandemic”, J. Appl. Numer. Optim. 3(2), 2021, 403-424.
• P. Daniele, C. Fulga, G. Martn-Herran, V. Mazalov, L. Petrosyan, B. Oliveira, C. Ramos, GW. Weber, N. Zenkevich, Foreword Special Issue “EURO 2019: Games in Economics, Finance and Biology”, Journal of Dynamics and Games 8(2), I-IV, doi10.3934/jdg.2021016.
• G. Colajanni, P. Daniele, L. Galluccio, C. Grasso, G. Schembra, “Service-Chain Placement Optimization in 5G FANET-Based Network Edge”, IEEE Communications Magazine, 2022, 60(11), 60-65.
• G. Colajanni, P. Daniele, D. Sciacca, “On the Provision of Services With UAVs in Disaster Scenarios: A Two-Stage Stochastic Approach”, Operations Research Forum, 2022, 3(1), 18.
• G. Colajanni, P. Daniele, D. Sciacca, “Reagents and swab tests during the COVID-19 Pandemic: An optimized supply chain management with UAVs“, Operations Research Perspectives, 2022, 9, 100257.
• G.M. Cappello, G. Colajanni, P. Daniele, L. Galluccio, C. Grasso, G. Schembra, L. Scrimali, “Optimizing FANET Lifetime for 5G Softwarized Network Provisioning”, IEEE Transactions on Network and Service Management, 2022.
• G. M. Cappello, G. Colajanni, P. Daniele, D. Sciacca, “A constrained optimization model for the provision of services in a 5G network with multi-level cybersecurity investments”, Soft Computing, 2022, https://doi.org/10.1007/s00500-022-07117-5.
• G. Colajanni, P. Daniele, A. Nagurney, L.S. Nagurney, D. Sciacca, “A three-stage stochastic optimization model integrating 5G technology and UAVs for disaster management”, Journal of Global Optimization, 86, 741-780, 2023.

Proceedings

• P. Daniele, “Variational Inequalities, Equivalent Optimization Problems and Associated Lagrangean Function”, 9^th Int. Coll. on Differential Equations, D. Bainov (Ed.) VSP, Utrecht, The Netherlands, 1999, 107-112.
• P. Daniele, “Time-dependent spatial price equilibrium problem: Existence and stability results for the quantity formulation model”, In: Meeting on Variational Analysis and Applications held at the 1^st AMS-UMI Joint Meeting, Journal of Global Optimization, 28(3-4), 2004, 283-295.
• A. Barbagallo, P. Daniele, M. Lorino, A. Maugeri, C. Mirabella, “Recent results on a general financial equilibrium problem“, In: AIP Conference Proceedings. vol. 1558, 2013, 1789-1792.
• G. Colajanni, P. Daniele, “A cloud computing network and an optimization algorithm for IaaS providers”, ICC ’17 Proceedings of the Second International Conference on Internet of things and Cloud Computing, ACM International Conference Proceeding Series a5, doi:10.1145/3018896.3065838.

PhD Thesis

• Daniele, “Disequazioni Variazionali e Dualità. Applicazioni a problemi di equilibrio”, Tesi di Dottorato di Ricerca in Matematica Applicata ed Informatica – XI Ciclo – Università degli Studi di Napoli “Federico II”.

 

Submitted

• G. Colajanni, P. Daniele, D. Sciacca, “A Closed-Loop Supply Chain Network Model for the Provision of 5G Services with UAVs and trustworthiness investments”.
• P. Daniele, O. Naselli, L. Scrimali, “An Optimization Model for Supply Chain Networks with co-creation”.
• G. Colajanni, P. Daniele, A. Nagurney, “Centralized Supply Chain Network Optimization with UAV-based Last Mile Deliveries”.