A class of generalized invex functions and vector variational-like inequalities

In this paper, a class of generalized invex functions, called [Formula: see text] -invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-object...

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Detalles Bibliográficos
Autores principales: Li, Ru, Yu, Guolin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5384979/
https://www.ncbi.nlm.nih.gov/pubmed/28446843
http://dx.doi.org/10.1186/s13660-017-1345-8
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author Li, Ru
Yu, Guolin
author_facet Li, Ru
Yu, Guolin
author_sort Li, Ru
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description In this paper, a class of generalized invex functions, called [Formula: see text] -invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequalities are proposed by using the KKM-Fan theorem.
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spelling pubmed-53849792017-04-24 A class of generalized invex functions and vector variational-like inequalities Li, Ru Yu, Guolin J Inequal Appl Research In this paper, a class of generalized invex functions, called [Formula: see text] -invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequalities are proposed by using the KKM-Fan theorem. Springer International Publishing 2017-04-07 2017 /pmc/articles/PMC5384979/ /pubmed/28446843 http://dx.doi.org/10.1186/s13660-017-1345-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Ru
Yu, Guolin
A class of generalized invex functions and vector variational-like inequalities
title A class of generalized invex functions and vector variational-like inequalities
title_full A class of generalized invex functions and vector variational-like inequalities
title_fullStr A class of generalized invex functions and vector variational-like inequalities
title_full_unstemmed A class of generalized invex functions and vector variational-like inequalities
title_short A class of generalized invex functions and vector variational-like inequalities
title_sort class of generalized invex functions and vector variational-like inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5384979/
https://www.ncbi.nlm.nih.gov/pubmed/28446843
http://dx.doi.org/10.1186/s13660-017-1345-8
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