On mappings with diminishing orbital diameters

We introduce the concepts of ∗-diminishing orbital diameters and diminishing orbital diameters for a pair (f,g) of self mappings in metric spaces and prove common fixed point theorems for these mappings. The results obtained in this paper extend properly the result of Fisher (1978).

Bibliographic Details
Main Authors: Zeqing Liu, Shin Min Kang
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006822