Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping

Autor: Auwalu Abba
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.
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