Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on $O$-complete metric spaces

Qing Yang; Chuanzhi Bai; Qing Yang; Chuanzhi Bai

doi:10.3934/math.2020368

AIMS Mathematics

2020, Volume 5, Issue 6: 5734-5742. doi: 10.3934/math.2020368

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Research article

Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on $O$-complete metric spaces

Qing Yang ,
Chuanzhi Bai ^,

School of Mathematical Science, Huaiyin Normal University, Huai an, Jiangsu Province, 223300, China

Received: 03 March 2020 Accepted: 02 July 2020 Published: 09 July 2020
MSC : 47H10

In this paper, we introduce the notion of an orthogonal (F, ψ)-contraction of Hardy-Rogers-type mapping and prove some fixed point theorem for such contraction mappings in orthogonally metric spaces. Our result extend and improve the main result of the paper by Sawangsup et al. [Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces, J. Fixed Point Theory Appl. (2020) 22:10].
- orthogonal metric space,
- fixed point,
- orthogonal contraction of Hardy-Rogers-type mapping
Citation: Qing Yang, Chuanzhi Bai. Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on $O$-complete metric spaces[J]. AIMS Mathematics, 2020, 5(6): 5734-5742. doi: 10.3934/math.2020368

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Abstract

In this paper, we introduce the notion of an orthogonal (F, ψ)-contraction of Hardy-Rogers-type mapping and prove some fixed point theorem for such contraction mappings in orthogonally metric spaces. Our result extend and improve the main result of the paper by Sawangsup et al. [Fixed point theorems for orthogonal F-contraction mappings on O-complete metric spaces, J. Fixed Point Theory Appl. (2020) 22:10].

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