Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems

An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:27-44, 2005). Moreover, a definition of Hadamard-type well-posedn...

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Autores principales: Zhang, Wenyan, Zeng, Jing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5340856/
https://www.ncbi.nlm.nih.gov/pubmed/28331280
http://dx.doi.org/10.1186/s13660-017-1330-2
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author Zhang, Wenyan
Zeng, Jing
author_facet Zhang, Wenyan
Zeng, Jing
author_sort Zhang, Wenyan
collection PubMed
description An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:27-44, 2005). Moreover, a definition of Hadamard-type well-posedness for (SSGVQEP) is introduced and sufficient conditions for Hadamard well-posedness of (SSGVQEP) are established.
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spelling pubmed-53408562017-03-20 Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems Zhang, Wenyan Zeng, Jing J Inequal Appl Research An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:27-44, 2005). Moreover, a definition of Hadamard-type well-posedness for (SSGVQEP) is introduced and sufficient conditions for Hadamard well-posedness of (SSGVQEP) are established. Springer International Publishing 2017-03-07 2017 /pmc/articles/PMC5340856/ /pubmed/28331280 http://dx.doi.org/10.1186/s13660-017-1330-2 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
Zhang, Wenyan
Zeng, Jing
Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title_full Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title_fullStr Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title_full_unstemmed Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title_short Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
title_sort existence and hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5340856/
https://www.ncbi.nlm.nih.gov/pubmed/28331280
http://dx.doi.org/10.1186/s13660-017-1330-2
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