Two Constraint Qualifications for Non-Differentiable Semi-Infinite Programming Problems Using Fr´echet and Mordukhovich Subdifferentials
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.
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.
Keywords
Semi-infinite programming problem, constraint qualification, optimality condition, Cottle constraint qualification.
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