Optimality and duality in nonlinear programming involving semilocally preinvex and related functions

Optimality and duality in nonlinear programming involving semilocally preinvex and related functions

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Article ID: iaor19972545
Country: India
Volume: 17
Issue: 3
Start Page Number: 585
End Page Number: 596
Publication Date: Sep 1996
Journal: Journal of Information & Optimization Sciences
Authors: , ,
Keywords: gradient methods
Abstract:

For a nondifferentiable nonlinear programming problem, Fritz John and Karush-Kuhn-Tucker necessary optimality conditions and sufficient optimality conditions are given and duality results are stated for Wolfe’s type and Mond-Weir type duals by the concepts of semilocally quasi-preinvex and semilocally pseudo-preinvex functions.

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