On generalized vector quasivariational-like inequality problems | Zendy

Abdul Khaliq | Zendy; M. H. M. Rashid | Zendy

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On generalized vector quasivariational-like inequality problems

Author(s) -

Abdul Khaliq,

M. H. M. Rashid

Publication year - 2005

Publication title -

fixed point theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.826

H-Index - 63

eISSN - 1687-1820

pISSN - 1687-1812

DOI - 10.1155/fpta.2005.243

Subject(s) - mathematics , banach space , extension (predicate logic) , fixed point theorem , variational inequality , pure mathematics , ky fan inequality , point (geometry) , differential geometry , inequality , mathematical analysis , kantorovich inequality , linear inequality , computer science , geometry , programming language

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

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