ScholarLens Back to search
1984•International Journal of Mathematics and Mathematical SciencesOpen access

Some fixed point theorems for Hardy‐Rogers type mappings

Β. E. Rhoades, Salvatore Sessa, M. S. Khan, Mohammad Danish Khan

Open full text 20 citations

Abstract

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

Open-access reader

About this research paper

What this paper is about

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

Why it matters

OpenAlex reports 20 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

Key concepts: Mathematics, Fixed-point theorem, Generalization, Type (biology), Metric space, Fixed point, Complete metric space, Pure mathematics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Some fixed point theorems for Hardy‐Rogers type mappings — Research Paper | ScholarLens