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

DEVELİ, Faruk; ÖZAVŞAR, Muttalip

doi:10.47000/tjmcs.961439

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

Atıf İçin Kopyala

DEVELİ F., ÖZAVŞAR M.

Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.35-41, 2023 (Hakemli Dergi)

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: 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.