TY - BOOK ID - 14305595 TI - Vector optimization : theory, applications, and extensions PY - 2010 SN - 3642170048 9786612995019 3642170056 1282995014 PB - Berlin ; Heidelberg : Springer-Verlag, DB - UniCat KW - Linear topological spaces. KW - Mathematical optimization. KW - Vector spaces. KW - Management KW - Civil & Environmental Engineering KW - Engineering & Applied Sciences KW - Business & Economics KW - Management Theory KW - Operations Research KW - Vector valued functions. KW - Functions, Vector KW - Functions, Vector valued KW - Business. KW - Operations research. KW - Decision making. KW - Management science. KW - Business and Management. KW - Operation Research/Decision Theory. KW - Optimization. KW - Operations Research, Management Science. 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 - Functional analysis KW - Functions of real variables UR - https://www.unicat.be/uniCat?func=search&query=sysid:14305595 AB - This book presents fundamentals and important results of vector optimization in a general setting. The theory developed includes scalarization, existence theorems, a generalized Lagrange multiplier rule and duality results. Applications to vector approximation, cooperative game theory and multiobjective optimization are described. The theory is extended to set optimization with particular emphasis on contingent epiderivatives, subgradients and optimality conditions. Background material of convex analysis being necessary is concisely summarized at the beginning. This second edition contains new parts on the adaptive Eichfelder-Polak method, a concrete application to magnetic resonance systems in medical engineering and additional remarks on the contribution of F.Y. Edgeworth and V. Pareto. The bibliography is updated and includes more recent important publications. ER -