Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping
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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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2022 ◽
Vol 25
(1)
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pp. 540
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2019 ◽
Vol 9
(3)
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pp. 127-134
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2012 ◽
Vol 2012
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pp. 1-11
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