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báo cáo hóa học:" Maximal and minimal point theorems and Caristi's fixed point theorem"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Maximal and minimal point theorems and Caristi's fixed point theorem | 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. Maximal and minimal point theorems and Caristi s fixed point theorem Fixed Point Theory and Applications 2011 2011 103 doi 10.1186 1687-1812-2011-103 Zhilong Li lzl771218@sina.com Shujun Jiang jiangshujun_s@yahoo.com.cn ISSN 1687-1812 Article type Research Submission date 8 August 2011 Acceptance date 21 December 2011 Publication date 21 December 2011 Article URL http www.fixedpointtheoryandapplications.com content 2011 1 103 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 www.fixedpointtheoryandapplications.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2011 Li and Jiang licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Maximal and minimal point theorems and Caristi s fixed point theorem Zhilong Li and Shujun Jiang Department of Mathematics Jiangxi University of Finance and Economics Nanchang Jiangxi 330013 China Corresponding author lzl771218@sina.com E-mail address SJ jiangshujums@yahoo.com.cn Abstract This study is concerned with the existence of fixed points of Caristi-type mappings motivated by a problem stated by Kirk. First several existence theorems of maximal and minimal points are established. By using them some generalized Caristi s fixed 1 point theorems are proved which improve Caristi s fixed point theorem and the results in the studies of .