A Class of G-Semipreinvex Functions and Optimality

A class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semiprei...

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Main Authors: Xue Wen Liu, Ke Quan Zhao, Zhe Chen
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/168172
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author Xue Wen Liu
Ke Quan Zhao
Zhe Chen
author_facet Xue Wen Liu
Ke Quan Zhao
Zhe Chen
author_sort Xue Wen Liu
collection DOAJ
description A class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semipreinvex functions are also obtained, and some optimality results are given for a class of G-semipreinvex functions. Ours results improve and generalize some known results.
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institution Kabale University
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language English
publishDate 2012-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-d8356671099b40fdaa2c7b3ddad91ab52025-02-03T01:11:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/168172168172A Class of G-Semipreinvex Functions and OptimalityXue Wen Liu0Ke Quan Zhao1Zhe Chen2Department of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaA class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semipreinvex functions are also obtained, and some optimality results are given for a class of G-semipreinvex functions. Ours results improve and generalize some known results.http://dx.doi.org/10.1155/2012/168172
spellingShingle Xue Wen Liu
Ke Quan Zhao
Zhe Chen
A Class of G-Semipreinvex Functions and Optimality
Journal of Applied Mathematics
title A Class of G-Semipreinvex Functions and Optimality
title_full A Class of G-Semipreinvex Functions and Optimality
title_fullStr A Class of G-Semipreinvex Functions and Optimality
title_full_unstemmed A Class of G-Semipreinvex Functions and Optimality
title_short A Class of G-Semipreinvex Functions and Optimality
title_sort class of g semipreinvex functions and optimality
url http://dx.doi.org/10.1155/2012/168172
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