E-Convex Sets, E-Convex Functions, and E-Convex Programming |
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Authors: | E A Youness |
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Institution: | (1) Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt |
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Abstract: | A class of sets and a class of functions called E-convex sets and E-convex functions are introduced by relaxing the definitions of convex sets and convex functions. This kind of generalized convexity is based on the effect of an operator E on the sets and domain of definition of the functions. The optimality results for E-convex programming problems are established. |
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Keywords: | Convex sets convex functions generalized convexity convex programming |
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