Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with (H,η)-Accretive Operators | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007 Article ID 93678 20 pages doi 2007 93678 Research Article Existence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with H n -Accretive Operators Jian-Wen Peng Dao-Li Zhu and Xiao-Ping Zheng Received 5 April 2007 Accepted 6 July 2007 Recommended by Lech Gorniewicz We introduce and study a new system of variational inclusions with H n -accretive operators which contains variational inequalities variational inclusions systems of variational inequalities and systems of variational inclusions in the literature as special cases. By using the resolvent technique for the H n -accretive operators we prove the existence and uniqueness of solution and the convergence of a new multistep iterative algorithm for this system of variational inclusions in real -uniformly smooth Banach spaces. The results in this paper unify extend and improve some known results in the literature. Copyright 2007 Jian-Wen Peng et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Variational inclusion problems are among the most interesting and intensively studied classes of mathematical problems and have wide applications in the fields of optimization and control economics and transportation equilibrium and engineering science. For the past years many existence results and iterative algorithms for various variational inequality and variational inclusion problems have been studied. For details please see 1-50 and the references therein. Recently some new and interesting problems which are called to be system of variational inequality problems were introduced and studied. Pang 28 Cohen and Chap-lais 29 Bianchi 30 and Ansari and Yao 16 considered a system of scalar variational .
