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Mathematical Vector Optimization in Partially Ordered Linear Spaces

Series:

Erich Martensen

Contents: This book presents various basic and important results of vector optimization in an abstract mathematical setting and demonstrates its usefulness in vector approximation and cooperative differential game theory. The general theory developed includes scalarization, existence results, a generalized multiplier rule and duality results. Moreover, background material of convex analysis being necessary is concisely summarized at the beginning.