On generalized vector quasivariational-like inequality problems. Issue 3 (25th October 2005)

• Record Type: Journal Article
• Authors: Khaliq, Abdul; Rashid, Mohammad
• Is Part Of: Fixed point theory and applications. Volume 2005:Issue 3(2005)
• Page Start: 243
• Page End: 255
• Publication Date: 2005-10-25
• Subjects: Fixed point theory -- Periodicals; Mappings (Mathematics) -- Periodicals; 515.7248
• DOI: 10.1155/FPTA.2005.243
• Languages: English
• ISSNs: 1687-1812

Abstract

Abstract : 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.