tailieunhanh - Báo cáo hóa học: " Research Article Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in 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 Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in Banach Spaces | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 601910 23 pages doi 2011 601910 Research Article Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in 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 Si Ayutthaya Road Bangkok 10400 Thailand Correspondence should be addressed to Poom Kumam Received 11 December 2010 Accepted 3 January 2011 Academic Editor S. Al-Homidan Copyright 2011 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 consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems the set of solutions of a system of quasivariational inclusions for two difference inverse strongly accretive operators and common set of fixed points for strict pseudocontraction mappings in Banach spaces. Furthermore strong convergence theorems of this method were established under suitable assumptions imposed on the algorithm parameters. The results obtained in this paper improve and extend some results in the literature. 1. Introduction Equilibrium theory represents an important area of mathematical sciences such as optimization operations research game theory financial mathematics and mechanics. Equilibrium problems include variational inequalities optimization problems Nash equilibria problems saddle point problems fixed point problems and complementarity problems as special cases for example see 1 2 and the references therein. In the theory of variational inequalities variational