Nonlinear Analysis and Global Optimization

This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Discusses aspects of nonlinear analysis in which optimization plays an important role Studies topics which are applied to the study of optimization problems Topical breadth will appeal to a wide readership of mathematicians and optimizers

Autorentext
Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46. Panos M. Pardalos serves as distinguished professor of industrial and systems engineering at the University of Florida. Additionally, he is the Paul and Heidi Brown Preeminent Professor of industrial and systems engineering. Professor Pardalos is also an affiliated faculty member of the computer and information science department, the Hellenic Studies Center, and the biomedical engineering program. Additionally, he serves as the director of the Center for Applied Optimization. Professor Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, ecommerce, data mining, biomedical applications, and massive computing. Panos Pardalos is a prolific author who lectures all over the world. He is the recipient of a multitude of fellowships and awards, the most recent of which is the Humboldt Research Award (2018).

Klappentext

This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Inhalt
Friction models in the framework of set-valued and convex analysis (Goeleven).- A survey on Markov's theorem on zeros of orthogonal polynomials (Rafaeli).- A review of two network curvature measures (DasGupta).- A frictional dynamic thermal contact problem with normal compliance and damage (Chau).- Mixed Concave-Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases (Cattani).- An optimization model for a network of organ transplants with uncertain availability (Daniele).- Algebraic based techniques as decision making tools (Couceiro).- Norm Estimates for the Composite Operators (Ding).- A Variational Inequality based Stochastic Approximation for Inverse Problems in Stochastic Partial Differential Equations (Khan).- An iterative method for a common solution of split generalized equilibrium problems and fixed points of a finite family of nonexpansive mapping (Bnouhachem).- Periodic solutions around theout-of-plane equilibrium points in the restricted three-body problem with radiation and angular velocity variation (Kalantonis).- Optimal lot size with partial backlogging under the occurrence of imperfect quality items (Skouri).- Error analysis through energy minimization and stability properties of exponential integrators (Vlachos).- A degenerate Kirchhoff-type inclusion problem with nonlocal operator (Motreanu).- Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework (Nagurney).- Relative strongly exponentially convex functions (Aslam Noor).- Properties of exponentially m-convex functions (Aslam Noor).- Natural vs. Artificial Topologies on a Relativistic Spacetime (Papadopoulos).- On the approximation of monotone variational inequalities in Lp spaces with probability measure (Raciti).- Operator Factorization and Solution of Second-Order Nonlinear Difference Equations with Variable Coefficients and Multipoint Constraints (Providas).- An invitation to the study of a uniqueness problem (Ricceri).- Schrödinger equations in nonlinear Optics (Schechter).- Ekeland variational principles in 2-local Branciari metric spaces (Turinici).