Journal of Global Optimization

, Volume 38, Issue 1, pp 21–39

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

Original Article

DOI: 10.1007/s10898-006-9081-5

Cite this article as:
Lin, LJ. J Glob Optim (2007) 38: 21. doi:10.1007/s10898-006-9081-5

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.

Keywords

Variational inclusion Saddle point Minimax theorem Mathematical program with systems of equilibrium constraints Bilevel problem Semi-infinite problem Upper (lower) semicontinuous multivalued map 

Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  1. 1.Department of MathematicsNational Changhua University of EducationChanghuaTaiwan

Personalised recommendations