A Hybrid Proximal Point Three-Step Algorithm for Nonlinear Set-Valued Quasi-Variational Inclusions System Involving (A,eta)-Accretive Mappings

作者：Li Hong Gang^*; Xu An Jian; Jin Mao Ming

来源：Fixed Point Theory and Applications, 2010, 635382.

DOI：10.1155/2010/635382

The main purpose of this paper is to introduce and study a new class of generalized nonlinear set-valued quasi-variational inclusions system involving (A,eta)-accretive mappings in Banach spaces. By using the resolvent operator due to Lan-Cho-Verma associated with (A,eta)-accretive mappings and the matrix analysis method, we prove the convergence of a new hybrid proximal point three-step iterative algorithm for this system of set-valued variational inclusions and an existence theorem of solutions for this kind of the variational inclusions system. The results presented in this paper generalize, improve, and unify some recent results in this field.

• 出版日期2010
• 单位长江师范学院; 重庆大学