Geodesic
Fixed points of mappings on extended cone b-metric space over real Banach algebra
Filomat, Tome 36 (2022) no. 3, p. 853

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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
DOI : 10.2298/FIL2203853U
Classification : 46F30, 47H10, 54H25
Keywords: Extended b-metric space, cone metric space over real Banach algebra, fixed point, Reich type contraction 
Wahid Ullah; Maria Samreen; Tayyab Kamran. Fixed points of mappings on extended cone b-metric space over real Banach algebra. Filomat, Tome 36 (2022) no. 3, p. 853 . doi: 10.2298/FIL2203853U
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     author = {Wahid Ullah and Maria Samreen and Tayyab Kamran},
     title = {Fixed points of mappings on extended cone b-metric space over real {Banach} algebra},
     journal = {Filomat},
     pages = {853 },
     year = {2022},
     volume = {36},
     number = {3},
     doi = {10.2298/FIL2203853U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203853U/}
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