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.
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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 |
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