tailieunhanh - Báo cáo hóa học: " Common coupled coincidence and coupled fixed point results in two generalized metric spaces"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Common coupled coincidence and coupled fixed point results in two generalized metric spaces | Shatanawi et al. Fixed Point Theory and Applications 2011 2011 80 http content 2011 1 80 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Common coupled coincidence and coupled fixed point results in two generalized metric spaces Wasfi Shatanawi 1 Mujahid Abbas2 and Talat Nazir2 Correspondence swasfi@. jjo department of Mathematics The Hashemite University Zarqa 13115 Jordan Full list of author information is available at the end of the article Springer Abstract In this article we prove the existence of common coupled coincidence and coupled fixed point of generalized contractive type mappings in the context of two generalized metric spaces. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results. 2000 MSC 47H10. Keywords coupled coincidence point common coupled fixed point weakly compatible maps generalized metric space 1 Introduction and preliminaries The study of common fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity 1-5 . Mustafa and Sims 4 generalized the concept of a metric space and call it a generalized metric space. Based on the notion of generalized metric spaces Mustafa et al. 5-9 obtained some fixed point theorems for mappings satisfying different contractive conditions. Abbas and Rhoades 10 initiated the study of common fixed point theory in generalized metric spaces see also 11 . Saadati et al. 12 proved some fixed point results for contractive mappings in partially ordered G-metric spaces. Abbas et al. 13 obtained some periodic point results in generalized metric spaces. Shatanawi 14 obtained some fixed point results for contractive mappings satisfying F-maps in G-metric spaces see also 15 . Bhashkar and Lakshmikantham 16 introduced the concept of a coupled fixed point of a mapping F X X X X a nonempty set and .