Two Constraint Qualifications for Non-Differentiable Semi-Infinite Programming Problems Using Fr´echet and Mordukhovich Subdifferentials

Authors

  • Nader Kanzi

DOI:

https://doi.org/10.30495/jme.v8i0.314

Keywords:

Semi-infinite programming problem, constraint qualification, optimality condition, Cottle constraint qualification.

Abstract

In this paper, we consider the semi-infinite programming
problems with non-differentiable emerging functions. Firstly, we give a
counterexample showing that Theorem 3.1 of Ref. [10] is not true. Then,
by modifying the assumptions of this theorem, we establish a new necessary
Theorem for optimal solution of the problem.

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Published

2014-09-20

Issue

Vol. 8

Section

Vol. 8, No. 2, (2014)

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