On generalized vector quasivariational-like inequality problems
We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for ve...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-10-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/FPTA.2005.243 |
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doaj-62320428d01b4a4e9bb25d6a00643b192020-11-24T21:19:08ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122005-10-012005324325510.1155/FPTA.2005.243On generalized vector quasivariational-like inequality problemsMohammad RashidAbdul KhaliqWe introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-optimization problems. The results of this paper generalize and unify the corresponding results of several authors and can be considered as a significant extension of the previously known results.http://dx.doi.org/10.1155/FPTA.2005.243 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammad Rashid Abdul Khaliq |
| spellingShingle |
Mohammad Rashid Abdul Khaliq On generalized vector quasivariational-like inequality problems Fixed Point Theory and Applications |
| author_facet |
Mohammad Rashid Abdul Khaliq |
| author_sort |
Mohammad Rashid |
| title |
On generalized vector quasivariational-like inequality problems |
| title_short |
On generalized vector quasivariational-like inequality problems |
| title_full |
On generalized vector quasivariational-like inequality problems |
| title_fullStr |
On generalized vector quasivariational-like inequality problems |
| title_full_unstemmed |
On generalized vector quasivariational-like inequality problems |
| title_sort |
on generalized vector quasivariational-like inequality problems |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2005-10-01 |
| description |
We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-optimization problems. The results of this paper generalize and unify the corresponding results of several authors and can be considered as a significant extension of the previously known results. |
| url |
http://dx.doi.org/10.1155/FPTA.2005.243 |
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AT mohammadrashid ongeneralizedvectorquasivariationallikeinequalityproblems AT abdulkhaliq ongeneralizedvectorquasivariationallikeinequalityproblems |
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1716736421520211968 |