Generalized abstract economy and systems of generalized vector quasi-equilibrium problems |
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Authors: | Lai-Jiu Lin Li-Fang Chen Qamrul Hasan Ansari |
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Affiliation: | 1. Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058, Taiwan, ROC;2. Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals Dhahran, 31261, Saudi Arabia;3. Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India |
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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. |
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Keywords: | 91A10 90C29 58E35 49J53 49J40 |
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