In this paper, a class of nonsmooth multiobjective programming problems with inequality constraints is considered. We introduce the concepts of v-r-pseudo-invex, strictly v-r-pseudo-invex and v-r-quasi-invexfunctions...
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In this paper, a class of nonsmooth multiobjective programming problems with inequality constraints is considered. We introduce the concepts of v-r-pseudo-invex, strictly v-r-pseudo-invex and v-r-quasi-invexfunctions, in which the involved functions are locally Lipschitz. Based upon these generalized v-r-invex functions, sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution are derived. Appropriate duality theorems are proved for a Mond-Weir-type dual program of a nonsmooth multiobjective programming under the aforesaid functions. (C) 2011 Elsevier Ltd. All rights reserved.
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