Discussions on the almost 𝒵-contraction-Reference-Cited by-同舟云学术

Discussions on the almost 𝒵-contraction

Published:2020-06-04 Issue:1 Volume:18 Page:448-457
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Karapınar Erdal¹,Hima Bindu V. M. L.²

Affiliation:

1. Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan

2. Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur 522 502, Andhra Pradesh, India

Abstract

Abstract In this paper, we introduce a new contraction, namely, almost

{\mathcal{Z}}

contraction with respect to

\zeta \in {\mathcal{Z}}

, in the setting of complete metric spaces. We proved that such contraction possesses a fixed point and the given theorem covers several existing results in the literature. We consider an example to illustrate our result.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0174/pdf

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