Common fixed point theorems for semigroups on metric spaces

This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f(y))≤φ(δ(Of (x,y))) for f∈S and x,y in M, where δ(Of (x,y)) denotes the diameter of the orbit of...

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Bibliographic Details
Main Authors: Young-Ye Huang, Chung-Chien Hong
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299223770