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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: Research Article Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 363716 14 pages doi 10.1155 2011 363716 Research Article Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces Xin-Qi Hu School of Mathematics and Statistics Wuhan University Wuhan 430072 China Correspondence should be addressed to Xin-Qi Hu xqhu.math@whu.edu.cn Received 23 November 2010 Accepted 27 January 2011 Academic Editor Ljubomir B. Ciric Copyright 2011 Xin-Qi Hu. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We prove a common fixed point theorem for mappings under -contractive conditions in fuzzy metric spaces. We also give an example to illustrate the theorem. The result is a genuine generalization of the corresponding result of S.Sedghi et al. 2010 1. Introduction Since Zadeh 1 introduced the concept of fuzzy sets many authors have extensively developed the theory of fuzzy sets and applications. George and Veeramani 2 3 gave the concept of fuzzy metric space and defined a Hausdorff topology on this fuzzy metric space which have very important applications in quantum particle physics particularly in connection with both string and E-infinity theory. Bhaskar and Lakshmikantham 4 Lakshmikantham and Ciric 5 discussed the mixed monotone mappings and gave some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value problem. Sedghi et al. 6 gave a coupled fixed point theorem for contractions in fuzzy metric spaces and Fang 7 gave some common fixed point theorems under -contractions for compatible and weakly compatible mappings in Menger probabilistic metric spaces. Many authors 823 have proved fixed point theorems in intuitionistic fuzzy metric spaces or probabilistic metric spaces. In this paper using similar
