Vector optimization [electronic resource] : set-valued and variational analysis / Guang-ya Chen, Xuexiang Huang, Xiaoqi Yang
- Lecture notes in economics and mathematical systems, 0075-8442 ; 541
- Introduction and Mathematical Preliminaries; Vector Optimization Problems; Vector Variational Inequalities; Vector Variational Principles; Vector Minimax Inequalities; Vector Network Equilibrium Problems.
- This book is devoted to vector or multiple criteria approaches in optimization. Topics covered include: vector optimization, vector variational inequalities, vector variational principles, vector minmax inequalities and vector equilibrium problems. In particular, problems with variable ordering relations and set-valued mappings are treated. The nonlinear scalarization method is extensively used throughout the book to deal with various vector-related problems. The results presented are original and should be interesting to researchers and graduates in applied mathematics and operations research.
- 3540212892 (pbk.)
3540284451 (electronic bk.)
9783540284451 (electronic bk.)
- Bibliography Note:
- Includes bibliographical references (pages -301).
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