New Fixed Point Results for Generalized Θ-Contraction in Extended 𝐆𝐛-Metric Spaces with an Application

Year 2021, Volume: 34 Issue: 3, 808 - 819, 01.09.2021

Sumaiya Tasneem Z , Kalpana G , Thabet Abdeljawad

https://doi.org/10.35378/gujs.712142

Abstract

Through this work, we analyze the structure of extended Gb-metric spaces and show a fundamental lemma for sequence convergence within the same metric. We also propose the new notion of generalized geraghty type Θ-berinde contraction mappings and demonstrate several fixed point theorems for these mappingsin the sense of extended Gb-metric spaces. Eventually, the existence result for solutions of a Fredholm integral equation is furnished to show the efficacy of the technique developed. 

Keywords

Extended Gb-metric spaces, Θ-contraction, Fixed point

References

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