Kuhn-Tucker and Fritz John type sufficient optimality conditions for generalized semilocally convex programs

Kuhn-Tucker and Fritz John type sufficient optimality conditions for generalized semilocally convex programs

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Article ID: iaor1989744
Country: India
Volume: 26
Issue: 1
Start Page Number: 11
End Page Number: 27
Publication Date: Mar 1989
Journal: OPSEARCH
Authors: ,
Abstract:

The concept of semilocally convex function is extended to concepts including ρ-semilocally convex, ρ-semilocally pseudoconvex, ρ-semilocally quasiconvex and semilocally ρ-quasiconvex functions. A number of sufficient optimality conditions for Kuhn-Tucker and Fritz John type are developed for nonlinear programming problems under these extensions.

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