Generalized vector equilibrium problem with pseudomonotone mappings
In this paper, we consider different types of pseudomonotone set-valued mappings and establish some connections between these pseudomonotone mappings. Further, by using these pseudomonotone mappings, we establish some existence results for generalized vector equilibrium problem.
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2016-01-01
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Series: | Journal of the Egyptian Mathematical Society |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X14000984 |
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doaj-df143135d21a4adcafdac62227a8c24f2020-11-25T01:56:35ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-01-01241687210.1016/j.joems.2014.07.001Generalized vector equilibrium problem with pseudomonotone mappingsSuhel Ahmad KhanIn this paper, we consider different types of pseudomonotone set-valued mappings and establish some connections between these pseudomonotone mappings. Further, by using these pseudomonotone mappings, we establish some existence results for generalized vector equilibrium problem.http://www.sciencedirect.com/science/article/pii/S1110256X14000984PseudomonotonicityKKM mappingHemicontinuous mapping |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Suhel Ahmad Khan |
spellingShingle |
Suhel Ahmad Khan Generalized vector equilibrium problem with pseudomonotone mappings Journal of the Egyptian Mathematical Society Pseudomonotonicity KKM mapping Hemicontinuous mapping |
author_facet |
Suhel Ahmad Khan |
author_sort |
Suhel Ahmad Khan |
title |
Generalized vector equilibrium problem with pseudomonotone mappings |
title_short |
Generalized vector equilibrium problem with pseudomonotone mappings |
title_full |
Generalized vector equilibrium problem with pseudomonotone mappings |
title_fullStr |
Generalized vector equilibrium problem with pseudomonotone mappings |
title_full_unstemmed |
Generalized vector equilibrium problem with pseudomonotone mappings |
title_sort |
generalized vector equilibrium problem with pseudomonotone mappings |
publisher |
SpringerOpen |
series |
Journal of the Egyptian Mathematical Society |
issn |
1110-256X |
publishDate |
2016-01-01 |
description |
In this paper, we consider different types of pseudomonotone set-valued mappings and establish some connections between these pseudomonotone mappings. Further, by using these pseudomonotone mappings, we establish some existence results for generalized vector equilibrium problem. |
topic |
Pseudomonotonicity KKM mapping Hemicontinuous mapping |
url |
http://www.sciencedirect.com/science/article/pii/S1110256X14000984 |
work_keys_str_mv |
AT suhelahmadkhan generalizedvectorequilibriumproblemwithpseudomonotonemappings |
_version_ |
1724979082472456192 |