Optimality conditions and duality in fractional programming involving semilocally preinvex and related functions

Optimality conditions and duality in fractional programming involving semilocally preinvex and related functions

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Article ID: iaor2003378
Country: India
Volume: 23
Issue: 1
Start Page Number: 185
End Page Number: 201
Publication Date: Jan 2002
Journal: Journal of Information & Optimization Sciences
Authors:
Abstract:

In this paper, a nonlinear fractional programming problem is considered, where the functions involved are η-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using concepts of semilocally preinvex, semilocally quasi-preinvex and semilocally pseudo-preinvex functions. Our results generalize the results obtained by Lyall et al.

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