Duality for nonlinear programming problems involving (b,F)-convexity

Duality for nonlinear programming problems involving (b,F)-convexity

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Article ID: iaor20002387
Country: India
Volume: 36
Issue: 2
Start Page Number: 172
End Page Number: 180
Publication Date: Jun 1999
Journal: OPSEARCH
Authors: ,
Keywords: duality
Abstract:

A new class of convex functions, namely, (b,F)-convex functions, is introduced. Sufficient optimality conditions and duality results are established for nonlinear programming problems under (b,F)-convexity assumptions on the functions involved. Further, we extend these results to fractional programming problems.

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