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

By Nguyen Van Luong, Nguyen Xuan Thuan. 2011

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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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ef67cbfb4b17950664fa214b7153c150399107de