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Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Fixed Point Theory and Applications volume 2007, Article number: 020962 (2007) Cite this article

Abstract

We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizing the Banach contraction principle, we obtain some fixed point theorems under some relatively weaker and more general contractive conditions.

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Authors and Affiliations

  1. Institute of Mathematics, Shantou University, Shantou, Guangdong, 515063, China

    Jie-Hua Mai

  2. Institute of Mathematics, Guangxi University, Nanning, Guangxi, 530004, China

    Xin-He Liu

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  1. Jie-Hua Mai
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  2. Xin-He Liu
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Correspondence to Jie-Hua Mai.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Mai, JH., Liu, XH. Fixed Points of Weakly Contractive Maps and Boundedness of Orbits. Fixed Point Theory Appl 2007, 020962 (2007). https://doi.org/10.1155/2007/20962

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  • DOI: https://doi.org/10.1155/2007/20962

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