New classes of strongly exponentially preinvex functions

In this paper, some new classes of the strongly exponentially generalized preinvex functions involving an auxiliary non-negative function and a bifunction are introduced. New relationships among various concepts of strongly exponentially generalized preinvex functions are established. It is shown th...

Full description

Bibliographic Details
Main Authors:	Muhammad Aslam Noor, Khalida Inayat Noor
Format:	Article
Language:	English
Published:	AIMS Press 2019-10-01
Series:	AIMS Mathematics
Subjects:	preinvex functions monotone operators invex functions exponentially preinvex functions
Online Access:	https://www.aimspress.com/article/10.3934/math.2019.6.1554/fulltext.html

id	doaj-3ab28cd2f16c469897db6290a7d2887c
record_format	Article
spelling	doaj-3ab28cd2f16c469897db6290a7d2887c2020-11-25T02:42:46ZengAIMS PressAIMS Mathematics2473-69882019-10-01461554156810.3934/math.2019.6.1554New classes of strongly exponentially preinvex functionsMuhammad Aslam Noor0Khalida Inayat Noor1Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad, PakistanIn this paper, some new classes of the strongly exponentially generalized preinvex functions involving an auxiliary non-negative function and a bifunction are introduced. New relationships among various concepts of strongly exponentially generalized preinvex functions are established. It is shown that the optimality conditions of differentiable strongly exponentially generalized preinvex functions can be characterized by exponentially variational-like inequalities. As special cases, one can obtain various new and known results from our results. Results obtained in this paper can be viewed as refinement and improvement of previously known results.https://www.aimspress.com/article/10.3934/math.2019.6.1554/fulltext.htmlpreinvex functionsmonotone operatorsinvex functionsexponentially preinvex functions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Muhammad Aslam Noor Khalida Inayat Noor
spellingShingle	Muhammad Aslam Noor Khalida Inayat Noor New classes of strongly exponentially preinvex functions AIMS Mathematics preinvex functions monotone operators invex functions exponentially preinvex functions
author_facet	Muhammad Aslam Noor Khalida Inayat Noor
author_sort	Muhammad Aslam Noor
title	New classes of strongly exponentially preinvex functions
title_short	New classes of strongly exponentially preinvex functions
title_full	New classes of strongly exponentially preinvex functions
title_fullStr	New classes of strongly exponentially preinvex functions
title_full_unstemmed	New classes of strongly exponentially preinvex functions
title_sort	new classes of strongly exponentially preinvex functions
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2019-10-01
description	In this paper, some new classes of the strongly exponentially generalized preinvex functions involving an auxiliary non-negative function and a bifunction are introduced. New relationships among various concepts of strongly exponentially generalized preinvex functions are established. It is shown that the optimality conditions of differentiable strongly exponentially generalized preinvex functions can be characterized by exponentially variational-like inequalities. As special cases, one can obtain various new and known results from our results. Results obtained in this paper can be viewed as refinement and improvement of previously known results.
topic	preinvex functions monotone operators invex functions exponentially preinvex functions
url	https://www.aimspress.com/article/10.3934/math.2019.6.1554/fulltext.html
work_keys_str_mv	AT muhammadaslamnoor newclassesofstronglyexponentiallypreinvexfunctions AT khalidainayatnoor newclassesofstronglyexponentiallypreinvexfunctions
_version_	1724771623075053568

New classes of strongly exponentially preinvex functions

Similar Items