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 A New System of Nonlinear Fuzzy Variational Inclusions Involving A, η -Accretive Mappings in Uniformly Smooth Banach Spaces | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009 Article ID 806727 33 pages doi 2009 806727 Research Article A New System of Nonlinear Fuzzy Variational Inclusions Involving A n -Accretive Mappings in Uniformly Smooth Banach Spaces M. Alimohammady 1 2 J. Balooee 1 Y. J. Cho 3 and M. Roohi1 1 Department of Mathematics Faculty of Basic Sciences University of Mazandaran Babolsar 47416-1468 Iran 2 Department of Mathematics King s College London Strand London WC2R 2LS UK 3 Department of Mathematics Education and the RINS Gyeongsang National University Chinju 660-701 South Korea Correspondence should be addressed to Y. J. Cho yjcho@ Received 4 October 2009 Accepted 4 November 2009 Recommended by Charles E. Chidume A new system of nonlinear fuzzy variational inclusions involving A n -accretive mappings in uniformly smooth Banach spaces is introduced and studied many fuzzy variational and variational inequality inclusion problems as special cases of this system. By using the resolvent operator technique associated with A n -accretive operator due to Lan et al. and Nadler s fixed points theorem for set-valued mappings an existence theorem of solutions for this system of fuzzy variational inclusions is proved. We also construct some new iterative algorithms for the solutions of this system of nonlinear fuzzy variational inclusions in uniformly smooth Banach spaces and discuss the convergence of the sequences generated by the algorithms in uniformly smooth Banach spaces. Our results extend improve and unify many known results in the recent literatures. Copyright 2009 M. Alimohammady 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 inequality was initially studied by Stampacchia 1 in 1964. In order to study many kinds of problems .
