UPM Institutional Repository

Generalized preinvex functions and their applications


Citation

Kilicman, Adem and Saleh, Wedad (2018) Generalized preinvex functions and their applications. Symmetry-Basel, 10 (10). pp. 1-13. ISSN 2073-8994

Abstract

A class of function called sub-b-s-preinvex function is defined as a generalization of s-convex and b-preinvex functions, and some of its basic properties are presented here. The sufficient conditions of optimality for unconstrainded and inquality constrained programming are discussed under the sub-b-s-preinvexity. Moreover, some new inequalities of the Hermite—Hadamard type for differentiable sub-b-s-preinvex functions are presented. Examples of applications of these inequalities are shown.


Download File

[img] Text
Generalized preinvex functions and their applications .pdf

Download (55kB)
Official URL or Download Paper: https://www.mdpi.com/2073-8994/10/10/493

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.3390/sym10100493
Publisher: MDPI
Keywords: Generalized convexity; b-vex functions; sub-b-s-convex functions
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 11 Mar 2021 20:11
Last Modified: 11 Mar 2021 20:11
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym10100493
URI: http://psasir.upm.edu.my/id/eprint/72827
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item