Generalized Equilibrium Problem with Mixed Relaxed Monotonicity

We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium p...

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Detalles Bibliográficos
Autores principales: Rizvi, Haider Abbas, Kılıçman, Adem, Ahmad, Rais
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121226/
https://www.ncbi.nlm.nih.gov/pubmed/25121137
http://dx.doi.org/10.1155/2014/807324
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author Rizvi, Haider Abbas
Kılıçman, Adem
Ahmad, Rais
author_facet Rizvi, Haider Abbas
Kılıçman, Adem
Ahmad, Rais
author_sort Rizvi, Haider Abbas
collection PubMed
description We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.
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spelling pubmed-41212262014-08-12 Generalized Equilibrium Problem with Mixed Relaxed Monotonicity Rizvi, Haider Abbas Kılıçman, Adem Ahmad, Rais ScientificWorldJournal Research Article We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem. Hindawi Publishing Corporation 2014 2014-07-10 /pmc/articles/PMC4121226/ /pubmed/25121137 http://dx.doi.org/10.1155/2014/807324 Text en Copyright © 2014 Haider Abbas Rizvi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Rizvi, Haider Abbas
Kılıçman, Adem
Ahmad, Rais
Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title_full Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title_fullStr Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title_full_unstemmed Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title_short Generalized Equilibrium Problem with Mixed Relaxed Monotonicity
title_sort generalized equilibrium problem with mixed relaxed monotonicity
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121226/
https://www.ncbi.nlm.nih.gov/pubmed/25121137
http://dx.doi.org/10.1155/2014/807324
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AT kılıcmanadem generalizedequilibriumproblemwithmixedrelaxedmonotonicity
AT ahmadrais generalizedequilibriumproblemwithmixedrelaxedmonotonicity

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