Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications |
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Authors: | Q H Ansari L J Lin L B Su |
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Institution: | (1) Associate Professor, Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Saudi Arabia;(2) Department of Mathematics, Aligarh Muslim University, Aligarh, India;(3) Professor, Department of Mathematics, National Changhua University of Education, Changhua, Taiwan, ROC;(4) Research Student, Department of Mathematics, National Changhua University of Education, Changhua, Taiwan, ROC |
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Abstract: | In this paper, we introduce systems of simultaneous generalized vector equilibrium problems and prove the existence of their
solutions. As application of our results, we derive the existence theorems for solutions of systems of vector saddle–point
problems. Consequently, we prove the existence of a solution of systems of generalized minimax inequalities. Further application
of our results is also given to establish the existence of a solution of a Debreu-type equilibrium problem for vector-valued
functions.
The first author thanks the Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran,
Saudi Arabia for providing excellent research facilities. The second and third authors were supported by the National Science
Council of the Republic of China. The authors are grateful to the referees for valuable suggestions and comments. |
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Keywords: | Systems of simultaneous generalized vector equilibrium problems systems of vector saddle point problems systems of minimax inequalities Debreu-type equilibrium problems properly convex functions |
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