Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative

Ahmad, Izhar (2011) Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative. Applied Mathematics, 02 (04). pp. 452-460. ISSN 2152-7385

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Abstract

In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficient under the generalised dI-univexity requirements. Moreover, weak, strong and strict converse duality theorems are also derived for Mond-Weir type dual programs.

Item Type: Article
Subjects: European Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 06 Jun 2023 05:28
Last Modified: 18 Nov 2023 03:43
URI: http://go7publish.com/id/eprint/2403

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