AN OPTIMALITY CONDITIONE FOR LOCALLY LIPSCHITZ SEMI-INFINITE PROBLEMS

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KANZI N.; KARIMI K.

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ISSN: 2588-4824

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Journal: MATHEMATICAL SCIENCES Year:2010 | Volume:4 | Issue:4 Page(s): 401-412

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Title

AN OPTIMALITY CONDITIONE FOR LOCALLY LIPSCHITZ SEMI-INFINITE PROBLEMS

Author(s)

KANZI N. | KARIMI K. | Issue Writer Certificate

Keywords

OPTIMALITY CONDITIONS

SEMI-INFINITE PROBLEM

NONSMOOTH ANALYSIS

CONSTRAINT QUALIFICATION

Abstract

This paper is devoted to the study of locally Lipschitz semi-infinite programming problems in which the index set of the inequality constraints is assumed to be arbitrary. We introduce an analogous of the Arrow-Hurwitcz-Uzawa CONSTRAINT QUALIFICATION which is based on the Clarke subdifierential. Then, we derive a Karush-Kuhn-Tucker type necessary condition. Finally, interrelations between the new and the Slater CONSTRAINT QUALIFICATIONs are investigated.

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APA: Copy

KANZI, N., & KARIMI, K.. (2010). AN OPTIMALITY CONDITIONE FOR LOCALLY LIPSCHITZ SEMI-INFINITE PROBLEMS. MATHEMATICAL SCIENCES, 4(4), 401-412. SID. https://sid.ir/paper/322527/en

Vancouver: Copy

KANZI N., KARIMI K.. AN OPTIMALITY CONDITIONE FOR LOCALLY LIPSCHITZ SEMI-INFINITE PROBLEMS. MATHEMATICAL SCIENCES[Internet]. 2010;4(4):401-412. Available from: https://sid.ir/paper/322527/en

IEEE: Copy

N. KANZI, and K. KARIMI, “AN OPTIMALITY CONDITIONE FOR LOCALLY LIPSCHITZ SEMI-INFINITE PROBLEMS,” MATHEMATICAL SCIENCES, vol. 4, no. 4, pp. 401–412, 2010, [Online]. Available: https://sid.ir/paper/322527/en

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