tailieunhanh - Báo cáo hóa học: " Research Article A System of Nonlinear Variational "

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 System of Nonlinear Variational | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2008 Article ID 681734 6 pages doi 2008 681734 Research Article A System of Nonlinear Variational Inclusions with A n -Monotone Mappings Zhiguo Wang1 and Changqun Wu2 1 School of Mathematics and Information Sciences Henan University Kaifeng 475001 China 2 School of Business and Administration Henan University Kaifeng 475001 China Correspondence should be addressed to Zhiguo Wang henumath@ Received 17 December 2007 Accepted 2 January 2008 Recommended by Ram U. Verma A new system of nonlinear variational inclusions involving A n -monotone mappings in the framework of Hilbert space is introduced and then based on the generalized resolvent operator technique associated with A n -monotonicity the approximation solvability of solutions using an iterative algorithm is investigated. Since A n -monotonicity generalizes A-monotonicity and H-monotonicity our results improve and extend the recent ones announced by many others. Copyright 2008 Z. Wang and C. Wu. 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 inclusions 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 sciences. Variational inclusions problems have been generalized and extended in different directions using the novel and innovative techniques. Various kinds of iterative algorithms to solve the variational inequalities and variational inclusions have been developed by many authors. For details we can refer to 1-9 . In most of the resolvent operator methods the maximal monotonicity has played a key role but more recently introduced notions of A-monotonicity 7 and