Common fixed point theorems for left reversible and near-commutative semigroups and applications

Zeqing Liu; Shin Min Kang

doi:10.1155/JIA.2005.175

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Common fixed point theorems for left reversible and near-commutative semigroups and applications

Zeqing Liu¹Email author and
Shin Min Kang²

Journal of Inequalities and Applications20052005:414317

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

Received: 21 May 2003

Published: 1 June 2005

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.

Authors’ Affiliations

(1)

Department of Mathematics, Liaoning Normal University

(2)

Department of Mathematics and RINS, Gyeongsang National University

Common fixed point theorems for left reversible and near-commutative semigroups and applications

Abstract

Authors’ Affiliations

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