Open AccessSome generalized fixed point results via a $ \tau $-distance and applications
Author(s) -
Farhan Khan,
Sarwar Muhammad,
Arshad Ali Khan,
Muhammad Waqar Azeem,
Hassen Aydi,
Aiman Mukheimer
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022080
Subject(s) - fixed point , fixed point theorem , mathematics , metric space , dominance (genetics) , fixed point property , discrete mathematics , pure mathematics , mathematical analysis , biochemistry , chemistry , gene
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 $ \tau $-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.