TAILIEUCHUNG - Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 689478,

Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 689478, 17 pages doi: Research Article System of General Variational Inequalities Involving Different Nonlinear Operators Related to Fixed Point Problems and Its Applications Issara Inchan1, 2 and Narin Petrot2, 3 1 Department of Mathematics and computer, Faculty of Science and Technology, Uttaradit Rajabhat University, Uttaradit 53000, Thailand 2 Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand 3 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand Correspondence should be addressed to Narin Petrot, narinp@ Received 5 October 2010; Revised 11 November 2010; Accepted 9 December 2010. | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 689478 17 pages doi 2011 689478 Research Article System of General Variational Inequalities Involving Different Nonlinear Operators Related to Fixed Point Problems and Its Applications Issara Inchan1 2 and Narin Petrot2 3 1 Department of Mathematics and computer Faculty of Science and Technology Uttaradit Rajabhat University Uttaradit 53000 Thailand 2 Centre of Excellence in Mathematics CHE Si Ayutthaya Road Bangkok 10400 Thailand 3 Department of Mathematics Faculty of Science Naresuan University Phitsanulok 65000 Thailand Correspondence should be addressed to Narin Petrot narinp@ Received 5 October 2010 Revised 11 November 2010 Accepted 9 December 2010 Academic Editor Qamrul Hasan Ansari Copyright 2011 I. Inchan and N. Petrot. 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. By using the projection methods we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators in the framework of Hilbert spaces. Moreover such solutions are also fixed points of a Lipschitz mapping. Some interesting cases and examples of applying the main results are discussed and showed. The results presented in this paper are more general and include many previously known results as special cases. 1. Introduction The originally variational inequality problem introduced by Stampacchia 1 in the early sixties has had a great impact and influence in the development of almost all branches of pure and applied sciences and has witnessed an explosive growth in theoretical advances algorithmic development. As a result of interaction between different branches of mathematical and engineering sciences we now have a variety of .

TÀI LIỆU LIÊN QUAN
TAILIEUCHUNG - Chia sẻ tài liệu không giới hạn
Địa chỉ : 444 Hoang Hoa Tham, Hanoi, Viet Nam
Website : tailieuchung.com
Email : tailieuchung20@gmail.com
Tailieuchung.com là thư viện tài liệu trực tuyến, nơi chia sẽ trao đổi hàng triệu tài liệu như luận văn đồ án, sách, giáo trình, đề thi.
Chúng tôi không chịu trách nhiệm liên quan đến các vấn đề bản quyền nội dung tài liệu được thành viên tự nguyện đăng tải lên, nếu phát hiện thấy tài liệu xấu hoặc tài liệu có bản quyền xin hãy email cho chúng tôi.
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.