Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping
Autor: | Auwalu Abba |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: | |
Zdroj: | ITM Web of Conferences, Vol 22, p 01003 (2018) |
Druh dokumentu: | article |
ISSN: | 2271-2097 20182201 |
DOI: | 10.1051/itmconf/20182201003 |
Popis: | In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers [1–7], and many others. We provide some examples to elucidate the validity and superiority of our results. |
Databáze: | Directory of Open Access Journals |
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