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Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems

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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.

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Authors and Affiliations

  1. Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan

    Lai-Jiu Lin

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  1. Lai-Jiu Lin
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Correspondence to Lai-Jiu Lin.

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This research was supported by the National Science Council of the Republic of China.

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Lin, LJ. Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems. J Glob Optim 38, 21–39 (2007). https://doi.org/10.1007/s10898-006-9081-5

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  • DOI: https://doi.org/10.1007/s10898-006-9081-5

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