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Báo cáo hóa học: " Research Article Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions"

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 Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011 Article ID 371241 10 pages doi 10.1155 2011 371241 Research Article Resolvent Iterative Methods for Solving System of Extended General Variational Inclusions Muhammad Aslam Noor 1 2 Khalida Inayat Noor 1 and Eisa Al-Said2 1 Mathematics Department COMSATS Institute of Information Technology Islamabad 44000 Pakistan 2 Mathematics Department College of Science King Saud University Riyadh 11451 Saudi Arabia Correspondence should be addressed to Muhammad Aslam Noor noormaslam@hotmail.com Received 1 October 2010 Revised 4 January 2011 Accepted 10 January 2011 Academic Editor Mohamed A. El-Gebeily Copyright 2011 Muhammad Aslam Noor 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. We introduce and consider some new systems of extended general variational inclusions involving six different operators. We establish the equivalence between this system of extended general variational inclusions and the fixed points using the resolvent operators technique. This equivalent formulation is used to suggest and analyze some new iterative methods for this system of extended general variational inclusions. We also study the convergence analysis of the new iterative method under certain mild conditions. Several special cases are also discussed. 1. Introduction In the recent years much attention has been given to study the system of variational inclusions inequalities which occupies a central and significant role in the interdisciplinary research between analysis geometry biology elasticity optimization imaging processing biomedical sciences and mathematical physics. One can see an immense breadth of mathematics and its simplicity in the works of this research. A number of problems leading to the system of variational inclusions .