tailieunhanh - Báo cáo hóa học: " Common fixed point results for three maps in generalized metric space"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài :Common fixed point results for three maps in generalized metric space | Abbas et al. Advances in Difference Equations 2011 2011 49 http content 2011 1 49 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Common fixed point results for three maps in generalized metric space Mujahid Abbas1 Talat Nazir1 and Reza Saadati2 Correspondence rsaadati@ 2Department of Mathematics Science and Research Branch Islamic Azad University Post Code 14778 Ashrafi Esfahani Ave Tehran Iran Full list of author information is available at the end of the article Springer Abstract Mustafa and Sims Fixed Point Theory Appl. 2009 Article ID 917175 10 2009 generalized a concept of a metric space and proved fixed point theorems for mappings satisfying different contractive conditions. In this article we extend and generalize the results obtained by Mustafa and Sims and prove common fixed point theorems for three maps in these spaces. It is worth mentioning that our results do not rely on continuity and commutativity of any mappings involved therein. We also introduce the notation of a generalized probabilistic metric space and obtain common fixed point theorem in the frame work of such spaces. 2000 Mathematics Subject Classification 47H10. Keywords common fixed point generalized metric space 1. Introduction and Preliminaries The study of fixed points of mappings satisfying certain contractive conditions has been at the center of vigorous research activity. Mustafa and Sims 1 generalized the concept of a metric space. Based on the notion of generalized metric spaces Mustafa et al. 2-5 obtained some fixed point theorems for mappings satisfying different contractive conditions. Abbas and Rhoades 6 motivated the study of a common fixed point theory in generalized metric spaces. Recently Saadati et al. 7 proved some fixed point results for contractive mappings in partially ordered G-metric spaces. The purpose of this article is to initiate the study of common fixed point for three mappings in .