- Turkish Journal of Mathematics and Computer Science
- Vol: 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 : 10 | Download : 14
Publication Date : 2023-06-30
Article Type : Research Article
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