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 On Coincidence and Fixed-Point Theorems in Symmetric Spaces | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008 Article ID 562130 9 pages doi 2008 562130 Research Article On Coincidence and Fixed-Point Theorems in Symmetric Spaces Seong-Hoon Cho 1 Gwang-Yeon Lee 1 and Jong-Sook Bae2 1 Department of Mathematics Hanseo University Chungnam 356-706 South Korea 2 Department of Mathematics Moyngji University Youngin 449-800 South Korea Correspondence should be addressed to Seong-Hoon Cho shcho@ Received 28 August 2007 Revised 4 February 2008 Accepted 5 March 2008 Recommended by Lech Gorniewicz We give an axiom in symmetric spaces and investigate the relationships between and axioms W3 W4 and . We give some results on coinsidence and fixed-point theorems in symmetric spaces and also we give some examples for the results of Imdad et al. 2006 . Copyright 2008 Seong-Hoon Cho et al. 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. 1. Introduction In 1 the author introduced the notion of compatible mappings in metric spaces and proved some fixed-point theorems. This concept of compatible mappings was frequently used to show the existence of common fixed points. However the study of the existence of common fixed points for noncompatible mappings is also very interesting. In 2 the author initially proved some common fixed-point theorems for noncompatible mappings. In 3 the authors gave a notion E-A which generalizes the concept of noncompatible mappings in metric spaces and they proved some common fixed-point theorems for noncompatible mappings under strict contractive conditions. In 4 the authors proved some common fixed-point theorems for strict contractive noncompatible mappings in metric spaces. Recently in 5 the authors extended the results of 3 4 to symmetric semimetric spaces under tight conditions. In 6 the .
