Nondifferentiable multiobjective programming under generalized dI-invexity

Hachem Slimani and Mohammed Said Radjef

European Journal of Operational Research, 2010, vol. 202, issue 1, 32-41

Abstract: In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce new concepts of dI-invexity and generalized dI-invexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di. New Fritz-John type necessary and Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be weakly efficient, efficient or properly efficient. Moreover, we prove weak, strong, converse and strict duality results for a Mond-Weir type dual under various types of generalized dI-invexity assumptions.

Keywords: Multiobjective; programming; Semi-directionally; differentiable; functions; Generalized; dI-invexity; Optimality; Duality; (Weakly; or; properly); efficient; point (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:202:y:2010:i:1:p:32-41

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