Existence of solutions and convergence of iterative algorithms for a system of generalized nonlinear mixed quasi-variational inclusions

Authors:
Jian Wen Peng;Dao Li Zhu
Affiliations:
College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, PR China and Department of Management Science, School of Management, Fudan University, Shanghai, 200433 ...;Department of Management Science, School of Management, Fudan University, Shanghai, 200433, PR China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

In this paper, we introduce and study a new system of generalized nonlinear mixed quasi-variational inclusions in q-uniformly smooth Banach spaces. We prove the existence and uniqueness of solutions for this system of generalized nonlinear mixed quasi-variational inclusions. We also prove the convergence of several new two-step iterative algorithms with or without errors for this system of generalized nonlinear mixed quasi-variational inclusions. The results in this paper extend and improve some known results in the literature.