Vector Optimization: Set-valued and Variational Analysis

✍ Scribed by Guang-ya Chen; Xuexiang Huang; Xiaogi Yang

Publisher: Springer Science & Business Media
Year: 2005
Tongue: English
Leaves: 315
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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. Readers will benefit from new methods and ideas for handling multiple criteria decision problems.

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