Generalization of fixed point theorems relating to the diameter of orbits by using a control function

Main Article Content

G. V. R. Babu

Abstract

The main purpose of this paper is to obtain fixed points for a selfmap $T$ of a metric space which is $T$-orbitally complete under a more general contraction type condition by using a certain continuous control function. Further generalization relating to the diameter of orbits is given.

Article Details

How to Cite
Babu, G. V. R. (2004). Generalization of fixed point theorems relating to the diameter of orbits by using a control function. Tamkang Journal of Mathematics, 35(2), 159–168. https://doi.org/10.5556/j.tkjm.35.2004.217
Section
Papers
Author Biography

G. V. R. Babu

Department of Mathematics, Andhra University, Visakhapatnam -- 530 003, India.