TY - BOOK ID - 32841428 TI - Vector Variational Inequalities and Vector Optimization : Theory and Applications AU - Ansari, Qamrul Hasan. AU - Köbis, Elisabeth. AU - Yao, Jen-Chih. PY - 2018 SN - 3319630490 3319630482 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Business. KW - Calculus of variations. KW - Operations research. KW - Management science. KW - Mathematical optimization. KW - Business and Management. KW - Operations Research/Decision Theory. KW - Continuous Optimization. KW - Calculus of Variations and Optimal Control Optimization. KW - Operations Research, Management Science. KW - Calculus of Variations and Optimal Control; Optimization. KW - Variational inequalities (Mathematics) KW - Vector spaces. KW - Linear spaces KW - Linear vector spaces KW - Algebras, Linear KW - Functional analysis KW - Vector analysis KW - Inequalities, Variational (Mathematics) KW - Calculus of variations KW - Differential inequalities KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Operational analysis KW - Operational research KW - Industrial engineering KW - Management science KW - Research KW - System theory KW - Decision making. KW - Isoperimetrical problems KW - Variations, Calculus of KW - Deciding KW - Decision (Psychology) KW - Decision analysis KW - Decision processes KW - Making decisions KW - Management KW - Management decisions KW - Choice (Psychology) KW - Problem solving KW - Quantitative business analysis KW - Statistical decision KW - Decision making UR - https://www.unicat.be/uniCat?func=search&query=sysid:32841428 AB - 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. ER -