Common coupled fixed point theorems for Geraghty-type contraction mappings using monotone property

Fixexd point theory and applications

Poom Kumam¹  Zoran Kadelburg^{3  4}  Wutiphol Sintunavarat⁵  Stojan Radenović⁶ 

[1] Department of Mathematics, Faculty of Science, King Mongkut’Faculty of Mathematics and Information Technology, Teacher Education, Dong Thap University, Cao Lanh City, Vietnam;Faculty of Mathematics, University of Belgrade, Beograd, Serbia;Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand;s University of Technology Thonburi, Bangkok, Thailand

关键词: partially ordered metric space;    coupled fixed point;    mixed monotone property;    Geraghty-type condition;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0278-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove common coupled fixed point theorems under a Geraghty-type condition using monotone instead of the often used mixed monotone property. Also we give some sufficient conditions for the uniqueness of a common coupled fixed point. An example illustrating our results is provided.

【 授权许可】

CC BY