tailieunhanh - Báo cáo hóa học: " Common fixed-point results for nonlinear contractions in ordered partial metric spaces"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài :Common fixed-point results for nonlinear contractions in ordered partial metric spaces | Samet et al. Fixed Point Theory and Applications 2011 2011 71 http content 2011 1 71 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Common fixed-point results for nonlinear contractions in ordered partial metric spaces Bessem Samet 1 Miloje Rajovic2 Rade Lazovic3 and Rade Stojiljkovic4 Correspondence bessem. samet@ 1Université de Tunis Ecole Supérieure des Sciences et Techniques de Tunis 5 Avenue Taha Hussein-Tunis . 56 1008 Bab Menara Tunisia Full list of author information is available at the end of the article Springer Abstract In this paper a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced and some coincidence and common fixed-point theorems for these contractions are proved. Presented theorems are twofold generalizations of very recent fixed-point theorems of Altun and Erduran Fixed Point Theory Appl 2011 Article ID 508730 10 2011 Altun et al. Topol Appl 157 18 2778-2785 2010 Matthews Proceedings of the 8th summer conference on general topology and applications New York Academy of Sciences New York pp. 183-197 1994 and many other known corresponding theorems. 2000 Mathematics Subject Classifications 54H25 47H10. Keywords partial metric ordered set common fixed point coincidence point partial compatible 1 Introduction It is well known that the Banach contraction principle is a very useful simple and classical tool in nonlinear analysis. There exist a vast literature concerning its various generalizations and extensions see 1-45 . In 22 Matthews extended the Banach contraction mapping theorem to the partial metric context for applications in program verification. After that fixed-point results in partial metric spaces have been studied 4 8 28 31 34 45 . The existence of several connections between partial metrics and topological aspects of domain theory has been pointed by many authors see 8 9 16 23 31 33 36-38 .