Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions

In this paper, we introduce a new system of generalized nonlinear mixed quasi-variational inclusions, prove the existence of solution, and give the sensitivity analysis of solution for the system of generalized nonlinear mixed quasi-variational inclusions in Hilbert spaces.

[1]  Nan-jing Huang,et al.  Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions , 1998 .

[2]  Muhammad Aslam Noor,et al.  Sensitivity Analysis for Quasi-Variational Inclusions , 1999 .

[3]  Ravi P. Agarwal,et al.  Sensitivity analysis for strongly nonlinear quasi-variational inclusions , 2000, Appl. Math. Lett..

[4]  Yeol Je Cho,et al.  Generalized nonlinear mixed quasi-variational inequalities , 2000 .

[5]  Muhammad Aslam Noor,et al.  Sensitivity Analysis for Quasi-Variational Inequalities , 1997 .

[6]  C. Baiocchi,et al.  Variational and quasivariational inequalities: Applications to free boundary problems , 1983 .

[7]  N. D. Yen.  Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint , 1995, Math. Oper. Res..

[8]  Patrick T. Harker,et al.  Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications , 1990, Math. Program..

[9]  R. N. Mukherjee,et al.  Sensitivity analysis of generalized variational inequalities , 1992 .

[10]  F. Giannessi,et al.  Variational inequalities and network equilibrium problems , 1995 .

[11]  Stella Dafermos,et al.  Sensitivity Analysis in Variational Inequalities , 1988, Math. Oper. Res..

[12]  Nan-jing Huang,et al.  Auxiliary Principle and Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-like Inequalities☆ , 2001 .

[13]  Nan-Jing Huang,et al.  Generalized Nonlinear Implicit Quasivariational Inclusion and an Application to Implicit Variational Inequalities , 1999 .

[14]  Ram U. Verma,et al.  Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators , 1997 .

[15]  R. U. Verma,et al.  Projection methods, algorithms, and a new system of nonlinear variational inequalities , 2001 .