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

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

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Article ID: iaor20084142
Country: Netherlands
Volume: 173
Issue: 1
Start Page Number: 47
End Page Number: 58
Publication Date: Aug 2006
Journal: European Journal of Operational Research
Authors:
Abstract:

A nonlinear programming problem is considered where the functions involved are η-semidifferentiable. Fritz John and Karush–Kuhn–Tucker type necessary optimality conditions are obtained. Moreover, a result concerning sufficiency of optimality conditions is given. Wolfe and Mond–Weir type duality results are formulated in terms of η-semidifferentials. The duality results are given using concepts of generalized semilocally B-preinvex functions.

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