Results on E-quasiconvex Functions for a linear map E

Author:

Benhadid Ayache1ORCID,Brahimi Mahmoud1

Affiliation:

1. Department of Mathematics, Faculty of Mathematics and Computer Science , Batna 2 University , Batna , Algeria

Abstract

Abstract It is well known that convexity theory and its generalization play an important role and have many applications in mathematical programming. In the previous article [2], the authors studied E-convex and semi-E-convex functions. In the present article, we deal with a class of E-quasiconvex functions and give a weak condition for a lower semi-continuous function on ℝ n to be an E-quasiconvex function.

Publisher

Walter de Gruyter GmbH

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