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arXiv · 2205.01145

Approximate solutions for robust multiobjective optimization programming in Asplund spaces

Maryam Saadati·Morteza Oveisiha
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Abstract

In this paper, we study a nonsmooth/nonconvex multiobjective optimization problem with uncertain constraints in arbitrary Asplund spaces. We first provide necessary optimality condition in a fuzzy form for approximate weakly robust efficient solutions and then establish necessary optimality theorem for approximate weakly robust quasi-efficient solutions of the problem in the sense of the limiting subdifferential by exploiting a fuzzy optimality condition in terms of the Frechet subdifferential. Sufficient conditions for approximate (weakly) robust quasi-efficient solutions to such a problem are also driven under the new concept of generalized pseudo convex functions. Finally, we address an approximate Mond-Weir-type dual robust problem to the reference problem and explore weak, strong, and converse duality properties under assumptions of pseudo convexity.

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Maryam Saadati, Morteza Oveisiha. 2022-05-02. Approximate solutions for robust multiobjective optimization programming in Asplund spaces. https://doi.org/10.1080/02331934.2022.2105214

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