2003•Journal of Mathematical Research and ExpositionRequires access

Incorrect Results for E-Convex Functions and E-Convex Programming

Jinbao Jian

Abstract

A class of functions and a sort of nonlinear programming called respectively E-convex functions and E-convex programming were presented and studied recently by Youness in [1], In this paper, we point out the most results for .E-convex functions and E-convex programming in [1] are not true by six counter examples.

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Key concepts: Mathematics, Nonlinear programming, Convex optimization, sort, Convex combination, Subderivative, Convex analysis, Convex function