Generalized preinvex functions and their applications
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-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72827/ http://psasir.upm.edu.my/id/eprint/72827/1/Generalized%20preinvex%20functions%20and%20their%20applications%20.pdf |
| _version_ | 1848857212100804608 |
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| author | Kilicman, Adem Saleh, Wedad |
| author_facet | Kilicman, Adem Saleh, Wedad |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T11:53:57Z |
| format | Article |
| id | upm-72827 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:57Z |
| publishDate | 2018 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-728272021-03-11T20:11:57Z http://psasir.upm.edu.my/id/eprint/72827/ Generalized preinvex functions and their applications Kilicman, Adem Saleh, Wedad 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. MDPI 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72827/1/Generalized%20preinvex%20functions%20and%20their%20applications%20.pdf Kilicman, Adem and Saleh, Wedad (2018) Generalized preinvex functions and their applications. Symmetry-Basel, 10 (10). pp. 1-13. ISSN 2073-8994 https://www.mdpi.com/2073-8994/10/10/493 10.3390/sym10100493 |
| spellingShingle | Kilicman, Adem Saleh, Wedad Generalized preinvex functions and their applications |
| title | Generalized preinvex functions and their applications |
| title_full | Generalized preinvex functions and their applications |
| title_fullStr | Generalized preinvex functions and their applications |
| title_full_unstemmed | Generalized preinvex functions and their applications |
| title_short | Generalized preinvex functions and their applications |
| title_sort | generalized preinvex functions and their applications |
| url | http://psasir.upm.edu.my/id/eprint/72827/ http://psasir.upm.edu.my/id/eprint/72827/ http://psasir.upm.edu.my/id/eprint/72827/ http://psasir.upm.edu.my/id/eprint/72827/1/Generalized%20preinvex%20functions%20and%20their%20applications%20.pdf |