The system of generalized vector equilibrium problems with applications |
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| Authors: | Qamrul Hasan Ansari Siegfried Schaible Jen-Chih Yao |
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| Institution: | (1) Department of Mathematics, Aligarh Muslim University, 202 002, India;(2) A.G. Anderson Graduate School of Management, University of California, 92521-0203, USA;(3) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan ROC |
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| Abstract: | In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions. |
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| Keywords: | Vector equilibrium problem Vector variational inequality Vector optimization problem Nash equilibrium problem Maximal element theorem |
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