Generalized convex functions and their applications in optimality conditions

Published 23 Feb 2024 in math.FA | (2402.15597v2)

Abstract: We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established.

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