System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings |
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Authors: | Lai-jiu Lin |
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Affiliation: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan |
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Abstract: | In this paper, we establish the existence theorems of the generalized vector quasi-equilibrium problems. From some existence
theorem, we establish fixed point theorems for a family of lower semicontinuous or nonexpansive multivalued mappings. We also
obtain the existence theorems of system of mixed generalized vector variational-like inequalities and existence theorems of
the Debreu vector equilibrium problems and the Nash vector equilibrium problems. |
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Keywords: | generalized vector quasi-equilibrium problem nonexpansive multivalued map quasiconvex quasiconvex-like upper(lower) semicontinuous multivalued map |
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