tailieunhanh - Báo cáo toán học: " A modified Mann iterative scheme by generalized f-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: A modified Mann iterative scheme by generalized f-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems | Saewan and Kumam Fixed Point Theory and Applications 2011 2011 104 http content 2011 1 104 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access A modified Mann iterative scheme by generalized f-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems Siwaporn Saewan 1 and Room Kumam1 2 Correspondence poom. kum@ 1Department of Mathematics Faculty of Science King Mongkut s University of Technology Thonburi Km J T Bangmod Bangkok 10140 Thailand Full list of author information is available at the end of the article Springer Abstract The purpose of this paper is to introduce a new hybrid projection method based on modified Mann iterative scheme by the generalized f-projection operator for a countable family of relatively quasi-nonexpansive mappings and the solutions of the system of generalized mixed equilibrium problems. Furthermore we prove the strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniform smooth Banach space. Finally we also apply our results to the problem of finding zeros of -monotone mappings and maximal monotone operators. The results presented in this paper generalize and improve some well-known results in the literature. 2000 Mathematics Subject Classification 47H05 47H09 47H10. Keywords The generalized f-projection operator relatively quasi-nonexpansive mapping B-monotone mappings maximal monotone operator system of generalized mixed equilibrium problems 1 Introduction The theory of equilibrium problems the development of an efficient and implementable iterative algorithm is interesting and important. This theory combines theoretical and algorithmic advances with novel domain of applications. Analysis of these problems requires a blend of techniques from convex analysis functional analysis and numerical analysis. Equilibrium .

TÀI LIỆU LIÊN QUAN
TỪ KHÓA LIÊN QUAN
crossorigin="anonymous">
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.