2006•Journal of MathematicsRequires access

MODIFICATIONS OF SOME INCORRECT RESULTS FOR E-CONVEX FUNCTIONS AND E-CONVEX PROGRAMMING

Jinbao Jian

Abstract

This paper discusses the associated results presented by Youness in 1999 for E-convex functions and E-convex programming. By using the basic properties of E-convex functions and E-convex programming and the optimization analysis techniques, some incorrect results for E\|convex functions and E-convex programming are modified.

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Key concepts: Mathematics, Proper convex function, Convex optimization, Convex analysis, Subderivative, Convex combination, Regular polygon, Linear matrix inequality