tailieunhanh - Báo cáo hóa học: " Research Article A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces"

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 Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 Article ID 728452 15 pages doi 2010 728452 Research Article A Generalized Nonlinear Random Equations with Random Fuzzy Mappings in Uniformly Smooth Banach Spaces Nawitcha Onjai-Uea1 2 and Poom Kumam1 2 1 Department of Mathematics Faculty of Science King Mongkut s University of Technology Thonburi KMUTT Bangmod Bangkok 10140 Thailand 2 Centre of Excellence in Mathematics CHE Sriayudthaya Road Bangkok 10400 Thailand Correspondence should be addressed to Poom Kumam Received 26 July 2010 Accepted 31 October 2010 Academic Editor YeolJ. E. Cho Copyright 2010 N. Onjai-Uea and P. Kumam. 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. We introduce and study the general nonlinear random H n -accretive equations with random fuzzy mappings. By using the resolvent technique for the H n -accretive operators we prove the existence theorems and convergence theorems of the generalized random iterative algorithm for this nonlinear random equations with random fuzzy mappings in -uniformly smooth Banach spaces. Our result in this paper improves and generalizes some known corresponding results in the literature. 1. Introduction Fuzzy Set Theory was formalised by Professor Lofti Zadeh at the University of California in 1965 with a view to reconcile mathematical modeling and human knowledge in the engineering sciences. The concept of fuzzy sets is incredible wide range of areas from mathematics and logics to traditional and advanced engineering methodologies. Applications are found in many contexts from medicine to finance from human factors to consumer products and from vehicle control to computational linguistics. Random variational inequality theories is an important part of random function analysis. These topics

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