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

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:1
Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Ban...

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

Authors : Faruk DEVELİ, Muttalip ÖZAVSAR

Pages : 35-41

Doi:10.47000/tjmcs.961439

View : 56 | Download : 25

Publication Date : 2023-06-30

Article Type : Research Paper

Abstract :In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras insert ignore into journalissuearticles values(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 $insert ignore into journalissuearticles values(S,T);$-stability results of Jungck iterations for some mappings in CMSBA.
Keywords : Banach algebra, cone metric space, jungck iteration, stability

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