International Journal of Nonlinear Analysis and Applications

Necessary conditions for vector-valued optimization problems on Banach spaces

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

Abstract

In this paper, the class of nonconvex vector-valued optimization problems with inequality constraints is considered. We introduce two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker type of necessary conditions for a (weakly) efficient solution to the considered problem. All results are given in terms of Dini directional derivative and Clarke subdifferential.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 7
July 2025
Pages 173-184
  • Receive Date: 05 March 2024
  • Revise Date: 08 April 2024
  • Accept Date: 15 April 2024