Recent developments in vector optimization

by Ansari, Qamrul Hasan Yao, Jen-Chih

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Title Statements

Full title :Recent developments in vector optimization / [edited by] Qamrul Hasan Ansari, Jen-Chih Yao.

Summary

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.

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):Springer
Place of Publication:Heidelberg
Language:eng
Publication Date:2012.

The Physical Object

Description:xxiv, 551 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:9783642211133, 3642211135, 9783642211140, 3642211143
oclc:ocn733240447
LC Classification:QA433
Dewey Decimal:515/.63

Vector optimization problems and their solution concepts / Gabriele Eichfelder and Johannes Jahn -- Gordan-type alternative theorems and vector optimization revisited / Fabiâan Flores-Bazâan, Fernando Flores-Bazâan, and Cristiâan Vera -- Duality in vector optimization with infimum and supremum / Andreas Lèohne -- Variable ordering structures in vector optimization / Gabriele Eichfelder -- Strong KKT, second order conditions and non-solid cones in vector optimization / Joydeep Dutta -- Optimality conditions and image space analysis for vector optimization problems / Giandomenico Mastroeni -- Nonsmooth invexities, invariant monotonicities and nonsmooth vector variational-like inequalities with applications to vector optimization / Suliman Al-Homidan, Qamrul Hasan Ansari, and Jen-Chih Yao -- Optimality conditions for approximate solutions of convex semi-infinite vector optimization problems / Gue Myung Lee, Gwi Soo Kim, and Nguyen Dinh.

Linear fractional and convex quadratic vector optimization problems / Nguyen Dong Yen -- Levitin-Polyak type well-posedness in constrained optimization / Xue-Xiang Huang -- Vector variational principles for set-valued functions / Christiane Tammer an…

Subjects

Affaires Analyse vectorielle Economics Economics/Management Science Mathematical optimization MATHEMATICS -- Calculus Mathematics -- Mathematical Analysis Mehrkriterielle Optimierung Operations Research, Management Science Operations Research/Decision Theory Optimisation mathématique Optimization Science économique Vector analysis Vektoroptimierung