The A-cone metric space over Banach algebra with applications
In the present paper, we introduce the notion of A-cone metric spaces over Banach algebra as a generalization of A-metric spaces and cone metric spaces over Banach algebra. We also defined generalized Lipschitz and expansive maps in such maps and establish some fixed point theorems for such maps in...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
Taylor & Francis Group
2017-01-01
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Series: | Cogent Mathematics |
Subjects: | |
Online Access: | http://dx.doi.org/10.1080/23311835.2017.1282690 |
Summary: | In the present paper, we introduce the notion of A-cone metric spaces over Banach algebra as a generalization of A-metric spaces and cone metric spaces over Banach algebra. We also defined generalized Lipschitz and expansive maps in such maps and establish some fixed point theorems for such maps in the setting of the new space. As an application, we prove a theorem for integral equation. We provide illustrative example to verify our results. Our results generalize and unify some well-known results in the literature. |
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ISSN: | 2331-1835 |