Generalized abstract economy and systems of generalized vector quasi-equilibrium problems

Authors:
Lai-Jiu Lin;Li-Fang Chen;Qamrul Hasan Ansari
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058, Taiwan, ROC;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058, Taiwan, ROC;Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals Dhahran, 31261, Saudi Arabia and Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 5
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Abstract

The present paper is in two-fold. The first fold is devoted to the existence theory of equilibria for generalized abstract economy with a lower semicontinuous constraint correspondence and a fuzzy constraint correspondence defined on a noncompact/nonparacompact strategy set. In the second fold, we consider systems of generalized vector quasi-equilibrium problems for multivalued maps (for short, SGVQEPs) which contain systems of vector quasi-equilibrium problems, systems of generalized mixed vector quasi-variational inequalities and Debreu-type equilibrium problems for vector valued functions as special cases. By using the results of first fold, we establish some existence results for solutions of SGVQEPs.