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- Title
Approximate proper efficiencies in nonsmooth semi-infinite multiobjective optimization problems.
- Authors
Pham, Thanh-Hung
- Abstract
This article is devoted to studying a nonsmooth semi-infinite multiobjective optimization problem (SIMP) in terms of the Mordukhovich/limiting subdifferentials. We first establish necessary and sufficient conditions for an ε-quasi positively properly efficient solution of a problem (SIMP). We also investigate Mond–Weir type dual problems under assumptions of ε-quasi pseudo-generalized convexity. Next, we provide an application to a nonsmooth fractional semi-infinite multiobjective optimization problem. Finally, some examples are given to illustrate the obtained results. The obtained results improve or include some recent known ones.
- Subjects
SUBDIFFERENTIALS; NONSMOOTH optimization
- Publication
RAIRO: Operations Research (2804-7303), 2024, Vol 58, Issue 2, p1163
- ISSN
2804-7303
- Publication type
Article
- DOI
10.1051/ro/2024015