Some generalized fixed point results via a τ-distance and applications

AIMS Mathematics

Farhan Khan¹  Arshad Khan¹  Muhammad Sarwar¹  Muhammad Azeem²  Hassen Aydi³  Aiman Mukheimer⁴ 

[1] 1. Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan;2. Department of Statistics, University of Malakand, Chakdara Dir(L), Pakistan;3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa;6. Department of Mathematics and Natural Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia;

关键词: partially ordered metric space;    complete metric space;    banach fixed point theorem;    suzuki fixed point theorem;    ω-distance;    τ-distance;   

DOI  :  10.3934/math.2022080

来源: DOAJ

【 摘 要 】

The aim of this manuscript is to present some new fixed point results in complete partially order metric spaces and to derive some extended forms of Suzuki and Banach fixed point theorems via a τ-distance by applying some new control functions. Our results are extensions of several existing fixed point theorems in the literature. To show the dominance of the established results, some examples and an application are studied.

【 授权许可】

Unknown