Affiliation:
1. National Formosa University, Taiwan
2. Kansas State University, USA
Abstract
A class of functions called semi--preinvex functions is defined as a generalization of semi--convex functions. Similarly, the concept of semi--quasiconvex functions is also generalized to semi--prequasiinvex functions. Properties of these proposed classes are studied, and sufficient conditions for a nonempty subset of the -dimensional Euclidean space to be an -convex or -invex set are given. The relationship between semi--preinvex and -preinvex functions are discussed along with results for the corresponding nonlinear programming problems.
Cited by
2 articles.
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1. The Jessen inequality of semi-E-preinvex functions and its applications;2022 14th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC);2022-08
2. Semi-$ (E, F) $-convexity in complex programming problems;AIMS Mathematics;2022