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Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces

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Abstract

In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. We also introduce a nonsmooth dual problem and provide duality theorems.

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Invexity, Nonsmooth duality, Optimality conditions, Vector optimization

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English

Citation

Journal of Optimization Theory and Applications, v. 103, n. 1, p. 65-73, 1999.

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