ScholarLens Back to search
2007•Unpublished venueRequires access

Common Fixed Point Theorems for m-weak** Commuting Mappings in 2-metric Spaces

A‎. ‎El-Sayed Ahmed

Open publisher page 3 citations

Abstract

In this paper, we introduce the notion of m-weak** commuting for a pair of self-maps on a 2-metric space. Using this general class of mappings we obtain two common fixed point theorems satisfying contractive and rational contractive type conditions in complete 2-metric spaces. Our results in this paper are the generalizations of some known theorems due to Rathore et al. [24] and others.

About this research paper

What this paper is about

In this paper, we introduce the notion of m-weak** commuting for a pair of self-maps on a 2-metric space. Using this general class of mappings we obtain two common fixed point theorems satisfying contractive and rational contractive type conditions in complete 2-metric spaces. Our results in this paper are the generalizations of some known theorems due to Rathore et al. [24] and others.

Why it matters

OpenAlex reports 3 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

In this paper, we introduce the notion of m-weak** commuting for a pair of self-maps on a 2-metric space. Using this general class of mappings we obtain two common fixed point theorems satisfying contractive and rational contractive type conditions in complete 2-metric spaces. Our results in this paper are the generalizations of some known theorems due to Rathore et al. [24] and others.

Key concepts: Mathematics, Metric space, Class (philosophy), Coincidence point, Discrete mathematics, Type (biology), Metric (unit), Fixed point

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Common Fixed Point Theorems for m-weak** Commuting Mappings in 2-metric Spaces — Research Paper | ScholarLens