On the C∗-algebra valued G-metric space related with fixed point theorems Қозғалмайтын нүкте жайлы теоремалармен байланысты C∗-алгебралық G-метрикалық кеңiстiк жайлы О C∗-алгебраическом G-метрическом пространстве, связанном с теоремами о неподвижных точках
Bulletin of the Karaganda University. Mathematics Series, cilt.95, sa.3, ss.44-50, 2019 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 95 Sayı: 3
- Basım Tarihi: 2019
- Doi Numarası: 10.31489/2019m2/44-50
- Dergi Adı: Bulletin of the Karaganda University. Mathematics Series
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.44-50
- Anahtar Kelimeler: G-metric space, fixed point theory, C*-algebra, banach contraction principle
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kırklareli Üniversitesi Adresli: Evet
Özet
There are many fixed point results in the various kinds of metric spaces such as b-metric spaces, quaternion metric spaces, G-metric spaces, uniform spaces, non-commutative Banach spaces etc. In this work, we consider the one of modern methods as C∗-algebra G-metric space with fixed point theory to solve problems above mentioned. We prove the fixed point theorems for a mapping under the contractive conditions in C∗-algebra G-metric space. Besides, we establish the not only existence but also uniqueness theorem of fixed point in the such space. Also, we provide several examples to put support behind our main result.