Fixed point theorem for generalized weak contractions satisfying rational expressions in ordered metric spaces

Fixexd point theory and applications

Nguyen Van Luong¹  Nguyen Xuan Thuan¹ 

[1] Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam

关键词: fixed point;    generalized weak contraction;    rational type;    ordered metric spaces;   

DOI  :  10.1186/1687-1812-2011-46

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove a fixed point theorem for generalized weak contractions satisfying rational expressions in partially ordered metric spaces. The result is a generalization of a recent result of Harjani et al. (Abstr. Appl. Anal, Vol.2010, 1-8, 2010). An example is also given to show that our result is a proper generalization of the existing one. 2000 Mathematics Subject Classification: 47H10, 54H25.

【 授权许可】

CC BY