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2011•Fixed Point Theory and ApplicationsOpen access

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

Nguyen Van Luong, Nguyen Xuan Thuan

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Abstract

Abstract 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.

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What this paper is about

Abstract 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.

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Available abstract

Abstract 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.

Key concepts: Mathematics, Generalization, Metric space, Fixed-point theorem, Differential geometry, Pure mathematics, Discrete mathematics, Metric (unit)

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