Upper Level Qualifications and Optimality in Multiobjective Convex Generalized Semi-Infinite Problems

Authors

  • Nader kanzi Payame noor University
  • Golnaz Edalat Payane noor University
  • Marjan Adib Payame noor university

Keywords:

Multiobjective GSIP, Constraint qualification, Necessary condition, Convex Subdifferential

Abstract

In this paper we consider the multi-objective generalizedsemi-infinite optimization problems with nondifferentiable convex data,whereas Soroush (Journal of Mathematical Extension 16(9): 1-14, 2022)investigated them in single-objective case. We introduce some upperlevelqualification conditions for the problems, and based on these qualifications,we demonstrate some first-order necessary optimality conditionsat weakly efficient and efficient solutions of the considered problem.

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Published

2023-11-26

Issue

Section

Vol. 17, No. 11, (2023)