On the Rus-Hicks-Rhoades Contraction Principle

Authors

  • Sehie Park Department of Mathematical Sciences, Seoul National University, Seoul 08826, Republic of Korea

DOI:

https://doi.org/10.58715/ncao.2025.4.8

Keywords:

Fixed point, Quasi-metric, Rus-Hicks-Rhoades (RHR) map, \(T\)-orbitally complete

Abstract

Recently the Banach contractions are extended to the weak contractions or the Rus-Hicks-Rhoades (RHR) maps, for which we collected lots of examples and studied in our previous works [18, 20, 21, 22]. Our aim in the present article is to introduce the weak contraction principle or the RHR contraction principle (Theorem P) which is an extension of the traditional Banach contraction principle. We also improve some known theorems closely related to Theorem P.

Downloads

Download data is not yet available.

Downloads

Published

2025-10-20

How to Cite

Park, S. (2025). On the Rus-Hicks-Rhoades Contraction Principle. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 4(2), 119–134. https://doi.org/10.58715/ncao.2025.4.8

Issue

Vol. 4 No. 2 (2025): July - December, 2025

Section

Articles

License

Copyright (c) 2025 Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Open Access Policy

This journal provides immediate open access to its content on the principle that making research freely available to the public.

Publication Charges

There are no charges to submit and publish an article in the Nonlinear Convex Analysis and Optimization (NCAO): An International Journal on Numerical, Computation and Applications. All articles published in our journal are open access and are freely and widely available to all readers via the journal website.