International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 567-572
doi:10.1155/S0161171297000768

Graphs and common fixed point theorems for sequences of maps

Abstract

We demonstrate a usefulness of the notion of a connected graph for obtaining some common fixed point theorems. In particular, we establish two theorems of this type involving one, two and four sequences of maps. This generalizes among others the recent results of S. Chang [1], J. Jachymski [2], S. Sessa, R. N. Mukherjee and T. Som [3], and T. Taniguchi [4].