# Common fixed points via $\lambda$-sequences in $G$-metric spaces

**Authors:** Ya\'e Olatoundji Gaba

arXiv: 1703.08407 · 2017-03-27

## TL;DR

This paper develops new fixed point theorems for families of self-mappings in complete G-metric spaces using λ-sequences, generalizing existing results and demonstrating broader applicability of the techniques.

## Contribution

Introduces a novel approach employing λ-sequences to establish common fixed points in G-metric spaces, extending previous fixed point theorems.

## Key findings

- Established new fixed point results in G-metric spaces
- Generalized known fixed point theorems
- Demonstrated broader applicability of the techniques

## Abstract

In this article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at a larger scale. These results generalise well known results in the literature.

## Full text

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## References

8 references — full list in the complete paper: https://tomesphere.com/paper/1703.08407/full.md

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Source: https://tomesphere.com/paper/1703.08407