Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras
Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.35-41, 2023 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.47000/tjmcs.961439
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.35-41
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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.