‎Necessary Conditions in Generalized Semi-Infinite Optimization with Nondifferentiable Convex Data

Authors

  • Hamed Soroush Payame Noor University

Keywords:

Generalized semi-infinite programming‎, ‎Constraint qualification‎, ‎Necessary optimality condition‎, ‎Subdifferential‎.

Abstract

Abstract: In this paper we focus on generalized semi-infnite optimization problem in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be convex, not necessarily differentiable. We introduce three constraint qualifcations which are based on the convex subdifferential, and derive some Kuhn-Tucker type necessary optimality conditions for the problem.

Author Biography

Hamed Soroush, Payame Noor University

Department of Mathematics, Payame Noor University

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Published

2021-12-22

Issue

Vol. 16

Section

Vol. 16, No. 10, (2022)

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