Open AccessFixed points of mappings on extended cone b-metric space over real Banach algebra
Author(s) -
Wahid Ullah,
Maria Samreen,
Tayyab Kamran
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2203853u
Subject(s) - mathematics , cone (formal languages) , metric space , banach space , banach algebra , metric (unit) , pure mathematics , space (punctuation) , type (biology) , fixed point , algebra over a field , discrete mathematics , mathematical analysis , algorithm , computer science , ecology , operations management , economics , biology , operating system
In this article, we introduce a new geometrical structure which is the hybrid of cone metric space over Banach algebra and extended b-metric space. We prove analogues of Banach, Kannan and Reich type fixed point theorems in our introduced space. We also furnish with various concrete examples to establish the validity of our results. The obtained results generalize many well-known results in literature, especially the main results due to Vujakovic et al., Hussain et al., Huang, Radenovic, Xu become special cases of our results.