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

[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.

[学科分类] 数学（综合）

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