Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems |
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Authors: | Lai-Jiu Lin |
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Institution: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan |
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Abstract: | In this paper, we study an existence theorem of systems of generalized quasivariational inclusions problem. By this result,
we establish the existence theorems of solutions of systems of generalized equations, systems of generalized vector quasiequilibrium
problem, collective variational fixed point, systems of generalized quasiloose saddle point, systems of minimax theorem, mathematical
program with systems of variational inclusions constraints, mathematical program with systems of equilibrium constraints and
systems of bilevel problem and semi-infinite problem with systems of equilibrium problem constraints.
This research was supported by the National Science Council of the Republic of China. |
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Keywords: | Variational inclusion Saddle point Minimax theorem Mathematical program with systems of equilibrium constraints Bilevel problem Semi-infinite problem Upper (lower) semicontinuous multivalued map |
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