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Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Nonlinear functional analysis. --- Mathematical optimization. --- Approximation theory. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Nonlinear theories --- Global analysis (Mathematics). --- Mathematics. --- Functional analysis. --- Operator theory. --- Analysis. --- Approximations and Expansions. --- Optimization. --- Calculus of Variations and Optimal Control; Optimization. --- Functional Analysis. --- Operator Theory. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Math --- Science --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Calculus of variations. --- 517.1 Mathematical analysis --- Isoperimetrical problems --- Variations, Calculus of

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We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector optimization.

Mathematical optimization. --- Vector analysis. --- Vector analysis --- Mathematical optimization --- Management --- Civil & Environmental Engineering --- Business & Economics --- Engineering & Applied Sciences --- Operations Research --- Management Theory --- Vector spaces. --- Linear spaces --- Linear vector spaces --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Business. --- Operations research. --- Decision making. --- Management science. --- Business and Management. --- Operation Research/Decision Theory. --- Optimization. --- Operations Research, Management Science. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algebras, Linear --- Functional analysis --- Operations Research/Decision Theory. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Quantitative business analysis --- Problem solving --- Statistical decision --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Decision making

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Operational research. Game theory --- Computer. Automation --- automatisering --- speltheorie --- operationeel onderzoek

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This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.

Business. --- Calculus of variations. --- Operations research. --- Management science. --- Mathematical optimization. --- Business and Management. --- Operations Research/Decision Theory. --- Continuous Optimization. --- Calculus of Variations and Optimal Control Optimization. --- Operations Research, Management Science. --- Calculus of Variations and Optimal Control; Optimization. --- Variational inequalities (Mathematics) --- Vector spaces. --- Linear spaces --- Linear vector spaces --- Algebras, Linear --- Functional analysis --- Vector analysis --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Decision making. --- Isoperimetrical problems --- Variations, Calculus of --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Quantitative business analysis --- Statistical decision --- Decision making