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Journal of Inequalities and Applications
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Common fixed point theorems for left reversible and near-commutative semigroups and applications

Journal of Inequalities and Applications volume 2005, Article number: 414317 (2005) Cite this article

Abstract

We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of solutions for a class of nonlinear Volterra integral equations.

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Authors and Affiliations

  1. Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian, 116029, China

    Zeqing Liu

  2. Department of Mathematics and RINS, Gyeongsang National University, Chinju, 660-701, Korea

    Shin Min Kang

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  1. Zeqing Liu
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  2. Shin Min Kang
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Correspondence to Zeqing Liu.

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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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Liu, Z., Kang, S.M. Common fixed point theorems for left reversible and near-commutative semigroups and applications. J Inequal Appl 2005, 414317 (2005). https://doi.org/10.1155/JIA.2005.175

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  • DOI: https://doi.org/10.1155/JIA.2005.175