International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1982 / Article

Open Access

Volume 5 |Article ID 176247 | https://doi.org/10.1155/S0161171282000192

B. E. Rhoades, "A generalization of some fixed point theorems of K. M. Ghosh", International Journal of Mathematics and Mathematical Sciences, vol. 5, Article ID 176247, 1 page, 1982. https://doi.org/10.1155/S0161171282000192

A generalization of some fixed point theorems of K. M. Ghosh

Received10 Apr 1981

Abstract

This note establishes the following result. Let T be a selfmap of a normed linear space E. For 0<λ1, define Tλx=λx+(1λ)Tx for each x in E. If, in addition, S=TTλ satisfies any contractive definition strong enough to guarantee that S has a unique fixed point u in E, and, if TTλu=TλTu, then u is the unique fixed point for T.

Copyright © 1982 Hindawi Publishing Corporation. 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.


More related articles

 PDF Download Citation Citation
 Order printed copiesOrder
Views63
Downloads269
Citations

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.