Research ArticleNo Access

Suzuki-type fixed point results in $G_{b}$ $G_{b}$ -metric spaces

A. A. Mebawondu

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

E-mail Address: 216028272@stu.ukzn.ac.za

E-mail Address: dele@aims.ac.za

Corresponding author.

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and

O. T. Mewomo

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

E-mail Address: mewomo@ukzn.ac.za

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https://doi.org/10.1142/S1793557121500704Cited by:5 (Source: Crossref)

Abstract

In this paper, we prove some fixed point theorems for a new type of generalized contractive mappings involving $C$ $C$ -class function, $α_{s}^{δ}$ $α_{s}^{δ}$ -admissible type mapping and Suzuki-type mappings in the frame work of complete $G_{b}$ $G_{b}$ -metric spaces. The results obtained in this work generalize and improve some fixed point results in the literature.

Communicated by O. Christensen

Keywords:

AMSC: 47H09, 47H10, 49J20, 49J40

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