The studies of systems of variational inclusions problems and variational disclusions problems with applications

Abstract In this paper, we study existence theorems of solutions for systems of variational inclusions problems and systems of variational disclusions problems. From these existence results, we establish existence theorems of solutions for systems of generalized vector quasiequilibrium problems and systems of quasioptimization problems.

[1]  Lai-Jiu Lin,et al.  On quasivariational inclusion problems of type I and related problems , 2007, J. Glob. Optim..

[2]  Lai-Jiu Lin,et al.  Variational inclusions problems with applications to Ekeland’s variational principle, fixed point and optimization problems , 2007, J. Glob. Optim..

[3]  Samir Adly,et al.  Perturbed algorithms and sensitivity analysis for a general class of variational inclusions , 1996 .

[4]  Lai-Jiu Lin,et al.  Some existence results for solutions of generalized vector quasi-equilibrium problems , 2007, Math. Methods Oper. Res..

[5]  LAI-JIU LIN,et al.  System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings , 2006, J. Glob. Optim..

[6]  Abdellatif Moudafi,et al.  A Perturbed Algorithm for Variational Inclusions , 1994 .

[7]  Nguyen Xuan Tan,et al.  Quasi‐Variational Inequalities in Topological Linear Locally Convex Hausdorff Spaces , 1985 .

[8]  Lai-Jiu Lin,et al.  Systems of generalized quasivariational inclusions problems with applications to variational analysis and optimization problems , 2007, J. Glob. Optim..

[9]  S. S. Chang,et al.  Set-Valued Variational Inclusions in Banach Spaces , 2000 .

[10]  D. T. Luc,et al.  Existence conditions in variational inclusions with constraints , 2004 .

[11]  Chih-Sheng Chuang,et al.  Existence theorems of systems of variational inclusion problems with applications , 2008, J. Glob. Optim..

[12]  Phan Quoc Khanh,et al.  The solution existence of general variational inclusion problems , 2007 .

[13]  Nguyen Xuan Tan,et al.  On the Existence of Solutions of Quasivariational Inclusion Problems , 2004 .

[14]  Lai-Jiu Lin,et al.  Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint , 2007, J. Glob. Optim..

[15]  George Xian-Zhi Yuan,et al.  The study of maximal elements, fixed points for LS-majorized mappings and their applications to minimax and variational inequalities in product topological spaces☆ , 1999 .

[16]  Qamrul Hasan Ansari,et al.  Generalized variational inclusions and generalized resolvent equations in banach spaces , 2005 .

[17]  B. Mordukhovich.  Variational analysis and generalized differentiation , 2006 .

[18]  Qamrul Hasan Ansari,et al.  An iterative algorithm for generalized nonlinear variational inclusions , 2000, Appl. Math. Lett..