Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras

Year 2023, Volume: 15 Issue: 1, 35 - 41, 30.06.2023

Faruk Develi , Muttalip Özavsar

https://doi.org/10.47000/tjmcs.961439

Abstract

In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA). Then, we observe that the class of such mappings in this setting contains those of many well known mappings. Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.

Keywords

Banach algebra, cone metric space, jungck iteration, stability

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