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Optimally Conditions for Pareto Nonsmooth Nonconvex Programming in Banach Spaces |
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| Authors: | Brandão A J V Rojas-Medar M A Silva G N |
| Institution: | (1) Department of Mathematics, ICEB-UFOP, Ouro Preto, MG, Brazil;(2) Department of Applied Mathematics, IMECC-UNICAMP, Campinas, SP, Brazil;(3) Department of Computer Science and Statistics, Universidade Estadual Paulista, São José do Rio Preto, SP, Brazil |
| 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. |
| Keywords: | Vector optimization optimality conditions nonsmooth duality invexity |
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