Alternative theorems and optimality conditions with weakened convexity

Alternative theorems and optimality conditions with weakened convexity

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Article ID: iaor19931182
Country: India
Volume: 29
Issue: 2
Start Page Number: 125
End Page Number: 135
Publication Date: Jun 1992
Journal: OPSEARCH
Authors:
Keywords: programming: nonlinear
Abstract:

This paper presents the concept of strictly convexlike, generalized strictly convexlike, generalized convexlike and generalized subconvexlike functions, and provides an alternative theorem for generalized subconvexlike function. These concepts and the results are then applied to establish optimality conditions for vector optimization problems.

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