Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications

Q. H. Ansari, L. J. Lin and L. B. Su
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Q. H. Ansari: King Fahd University of Petroleum and Minerals
L. J. Lin: National Changhua University of Education
L. B. Su: National Changhua University of Education

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 1, No 2, 27-44

Abstract: 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.

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 (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-6391-6

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