International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 7, Pages 441-448
doi:10.1155/S0161171200001587

A general existence principle for fixed point theorems in D-metric spaces

B. C. Dhage,1 A. M. Pathan,1 and B. E. Rhoades2

1Mathematical Research Centre, Mahatma Gandhi Mahavidyalaya, Ahmedpur 413 515, India
2Department of Mathematics, Indiana University, Bloomington 47405-4301, Indiana, USA

Received 13 April 1998; Revised 22 July 1998

Copyright © 2000 B. C. Dhage et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We establish two general principles for fixed point theorems in D-metric spaces, and then show that several theorems in D-metric spaces follow as corollaries of these general principles.