Titlebook: Vector Optimization; Theory, Applications Johannes Jahn Book 20041st edition Springer-Verlag Berlin Heidelberg 2004 Convex Analysis.Derivat

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Book 20041st editiony subset of a partially ordered linear space. The prob- lem of determining at least one of these optimal elements, if they exist at all, is also called a vector optimization problem. Problems of this type can be found not only in mathematics but also in engineer- ing and economics. Vector optimizati

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Optimality Notions minimal and weakly minimal elements (or strongly maximal, properly maximal and weakly maximal elements). It is the aim of this first chapter of the second part to present the definition of these optimality notions together with some examples.

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Vector Approximationctor approximation and simultaneous approximation, and we present the so-called generalized Kolmogorov condition. Moreover, we consider nonlinear and linear Chebyshev vector approximation problems and we formulate a generalized alternation theorem for these problems.

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