Taiwanese Journal of Mathematics

SOME PROPERTIES OF SEMI-$G$-PREINVEX FUNCTIONS

Z. Y. Peng and S. S. Chang

Full-text: Open access

Abstract

In this paper, a new class of functions called semi-$G$-preinvex functions, which is generalization of semipreinvex functions and $G$-preinvex functions, is introduced. Some examples are given to show that there exist functions which are semi-$G$-preinvex functions, but are not $G$-invex functions, semipreinvex functions and $G$-preinvex functions. Furthermore, some interesting properties and characterizations of semi-$G$-preinvexity are established. Our results extend and improve the corresponding ones in the literature.

Article information

Source
Taiwanese J. Math., Volume 17, Number 3 (2013), 873-884.

Dates
First available in Project Euclid: 10 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499705988

Digital Object Identifier
doi:10.11650/tjm.17.2013.2582

Mathematical Reviews number (MathSciNet)
MR3072266

Zentralblatt MATH identifier
1294.26012

Subjects
Primary: 26B25: Convexity, generalizations 90C26: Nonconvex programming, global optimization

Keywords
semi-connected sets semipreinvex functions semi-$G$-preinvex functions optimality

Citation

Peng, Z. Y.; Chang, S. S. SOME PROPERTIES OF SEMI-$G$-PREINVEX FUNCTIONS. Taiwanese J. Math. 17 (2013), no. 3, 873--884. doi:10.11650/tjm.17.2013.2582. https://projecteuclid.org/euclid.twjm/1499705988


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