tailieunhanh - Báo cáo toán học: " On generalized weakly directional contractions and approximate fixed point property with applications"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: On generalized weakly directional contractions and approximate fixed point property with applications | Fixed Point Theory and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. On generalized weakly directional contractions and approximate fixed point property with applications Fixed Point Theory and Applications 2012 2012 6 doi 1687-1812-2012-6 Wei-Shih Du wsdu@ ISSN 1687-1812 Article type Research Submission date 6 August 2011 Acceptance date 17 January 2012 Publication date 17 January 2012 Article URL http content 2012 1 6 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Fixed Point Theory and Applications go to http authors instructions For information about other SpringerOpen publications go to http 2012 Du licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. On generalized weakly directional contractions and approximate fixed point property with applications Wei-Shih Du Department of Mathematics National Kaohsiung Normal University Kaohsiung 824 Taiwan Email address wsdu@ Abstract In this article we first introduce the concept of directional hidden contractions in metric spaces. The existences of generalized approximate fixed point property for various types of nonlinear contractive maps are also given. From these results we present some new fixed point theorems for directional hidden contractions which generalize Berinde-Berinde s fixed point theorem Mizoguchi-Takahashi s fixed point theorem .