tailieunhanh - Báo cáo hóa học: " Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings | Yang et al. Fixed Point Theory and Applications 2011 2011 77 http content 2011 1 77 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings LI Yang 1 Shih-Sen Chang2 Yeol JE Cho3 and Jong KYU Kim4 Correspondence yanglizxs@ changss@ department of Mathematics South West University of Science and Technology Mianyang Sichuan 621010 China 2College of Statistics and Mathematics Yunnan University of Finance and Economics Kunming Yunnan 650221 China Full list of author information is available at the end of the article Springer Abstract The purpose of this article is to propose and investigate an algorithm for solving the multiple-set split feasibility problems for total asymptotically strict pseu-docontractions mappings in infinite-dimensional Hilbert spaces. The results presented in this article improve and extend some recent results of A. Moudafi H. K. Xu Y. Censor A. Segal T. Elfving N. Kopf T. Bortfeld X. A. Motova Q. Yang A. Gibali S. Reich and others. 2000 AMS Subject Classification 47J05 47H09 49J25. Keywords multiple-set split feasibility problem split feasibility problem demi-close-ness Opial condition total asymptotically strict pseudocontraction 1. Introduction and preliminaries Throughout this article we always assume that H1 H2 are real Hilbert spaces are denoted by strong and weak convergence respectively and F T is the fixed point set of a mapping T. Let G be a nonempty closed convex subset of H1 and T G G a mapping. T is said to be a contraction if there exists a constant a e 0 1 such that II Tx - Ty II a II x - y Vx y e G. Banach contraction principle guarantees that every contractive mapping defined on complete metric spaces has a unique fixed point. T is said to be a weak contraction if IITx - Ty II IIx - y - ý x - y Vx y e G. where V 0 0 is a continuous and .