Necessary and sufficient conditions for isolated local minima of nonsmooth functions

We consider the mathematical programming problem: find $\inf \{ f(x)\mid x \in C\} $ where $f$ is an arbitrary extended-real-valued function, and $C$ a subset of a finite dimensional space. We give necessary and sufficient optimality conditions for this problem, generalizing previous results of A. A...

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Bibliographic Details
Published in:SIAM journal on control and optimization 1986-07, Vol.24 (5), p.1044-1049
Main Author: STUDNIARSKI, M
Format: Article
Language:English
Subjects:
Applied mathematics
Applied sciences
Exact sciences and technology
Inequality
Mathematical functions
Mathematical programming
Operational research and scientific management
Operational research. Management science
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Summary:We consider the mathematical programming problem: find $\inf \{ f(x)\mid x \in C\} $ where $f$ is an arbitrary extended-real-valued function, and $C$ a subset of a finite dimensional space. We give necessary and sufficient optimality conditions for this problem, generalizing previous results of A. Auslendex (this Journal, 22 (1984), pp. 239-254).
ISSN:0363-0129
1095-7138
DOI:10.1137/0324061