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: Common fixed points of R-weakly commuting maps in generalized metric spaces | Abbas et al. Fixed Point Theory and Applications 2011 2011 41 http content 2011 1 41 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Common fixed points of R-weakly commuting maps in generalized metric spaces Mujahid Abbas 1 Safeer Hussain Khan2 and Talat Nazir1 Correspondence safeer@. qa department of Mathematics Statistics and Physics Qatar University Doha 2713 Qatar Full list of author information is available at the end of the article Springer Abstract In this paper using the setting of a generalized metric space a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in support of our result. 2000 MSC 54H25 47H10 54E50. Keywords R-weakly commuting maps compatible maps common fixed point generalized metric space 1 Introduction and preliminaries The study of unique common fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity. Mustafa and Sims 1 generalized the concept of a metric in which the real number is assigned to every triplet of an arbitrary set. Based on the notion of generalized metric spaces Mustafa et al. 2-6 obtained some fixed point theorems for mappings satisfying different contractive conditions. Study of common fixed point theorems in generalized metric spaces was initiated by Abbas and Rhoades 7 . Abbas et al. 8 obtained some periodic point results in generalized metric spaces. While Chugh et al. 9 obtained some fixed point results for maps satisfying property p in G-metric spaces. Saadati et al. 10 studied some fixed point results for contractive mappings in partially ordered G-metric spaces. Recently Shatanawi 11 obtained fixed points of F-maps in G-metric spaces. Abbas et al. 12 gave some new results of coupled common fixed point results in two generalized metric spaces see also 13 . The aim of this paper is to .
