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Zbl 1124.49006
Lin, Lai-Jiu
Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems. (English)
[J] J. Glob. Optim. 38, No. 1, 21-39 (2007). ISSN 0925-5001; ISSN 1573-2916/e

Summary: 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.

MSC 2000:: *49J40 Variational methods including variational inequalities
49J53 Set-valued and variational analysis

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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