Wardowski type fixed point theorems in complete metric spaces

Fixexd point theory and applications

Hossein Piri²  Poom Kumam³ 

[1] Department of Mathematics, Science Laboratory Building, Faculty of Science, King Mongkut’Department of Mathematics, University of Bonab, Bonab, Iran;Theoretical and Computational Science Center (TaCS-Center) &s University of Technology Thonburi (KMUTT), Bangkok, Thailand

关键词: fixed point;    metric space;    F-contraction;    74H10;    54H25;   

DOI  :  10.1186/s13663-016-0529-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we state and prove Wardowski type fixed point theorems in metric space by using a modified generalized F-contraction maps. These theorems extend other well-known fundamental metrical fixed point theorems in the literature (Dung and Hang in Vietnam J. Math. 43:743-753, 2015 and Piri and Kumam in Fixed Point Theory Appl. 2014:210, 2014, etc.). Examples are provided to support the usability of our results.

【 授权许可】

CC BY