Fundamentals and important results of vector optimization in a
general setting are presented in this book. 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.
General
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