Coupled Fixed Point Theorems with Rational Type Contractive Condition via C-Class Functions and Inverse Ck-Class Functions

The purpose of this paper is to develop coupled fixed point theorems by C-class functions with mixed monotonicity, discuss the existence of the coupled fixed point of two mappings and obtain a coupled coincidence point theorem via inverse Ck-class functions in partially ordered H-metric spaces. This...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 14; no. 8; p. 1663
Main Authors Liu, Xiaolan, Zhou, Mi, Ansari, Arslan H., Chakrabarti, Kalyan, Abbas, Mujahid, Rathour, Laxmi
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2022
Subjects
C-class functions
coupled fixed point
Existence theorems
Fixed points (mathematics)
inverse Ck-class functions
Metric space
partially ordered H-metric
Theorems
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Summary:The purpose of this paper is to develop coupled fixed point theorems by C-class functions with mixed monotonicity, discuss the existence of the coupled fixed point of two mappings and obtain a coupled coincidence point theorem via inverse Ck-class functions in partially ordered H-metric spaces. This improves the existing results. In addition, some instances and an application are given to illustrate the usability and validity of the results.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14081663