Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps
In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize...
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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oai:scielo:S0719-064620100001000182018-10-08Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM MapsFarajzadeh,A.PAmini-Harandi,AO’Regan,DAgarwal,R.P Strong vector equilibrium Upper sign continuity Pseudomonotone bifunction Quasimonotone bifunction In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100018en10.4067/S0719-06462010000100018 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Strong vector equilibrium Upper sign continuity Pseudomonotone bifunction Quasimonotone bifunction |
spellingShingle |
Strong vector equilibrium Upper sign continuity Pseudomonotone bifunction Quasimonotone bifunction Farajzadeh,A.P Amini-Harandi,A O’Regan,D Agarwal,R.P Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
description |
In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature. |
author |
Farajzadeh,A.P Amini-Harandi,A O’Regan,D Agarwal,R.P |
author_facet |
Farajzadeh,A.P Amini-Harandi,A O’Regan,D Agarwal,R.P |
author_sort |
Farajzadeh,A.P |
title |
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
title_short |
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
title_full |
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
title_fullStr |
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
title_full_unstemmed |
Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
title_sort |
strong vector equilibrium problems in topological vector spaces via kkm maps |
publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
publishDate |
2010 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100018 |
work_keys_str_mv |
AT farajzadehap strongvectorequilibriumproblemsintopologicalvectorspacesviakkmmaps AT aminiharandia strongvectorequilibriumproblemsintopologicalvectorspacesviakkmmaps AT o8217regand strongvectorequilibriumproblemsintopologicalvectorspacesviakkmmaps AT agarwalrp strongvectorequilibriumproblemsintopologicalvectorspacesviakkmmaps |
_version_ |
1714206764703940608 |