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

Xiaolan Liu,Laxmi Rathour,Mi Zhou,Arslan H Ansari,Kalyan Chakrabarti,Mujahid Abbas

doi:10.3390/sym14081663

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

Xiaolan Liu, Laxmi Rathour + Show 4 more

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https://doi.org/10.3390/sym14081663

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Journal: Symmetry	Publication Date: Aug 11, 2022
Citations: 1	License type: CC BY 4.0

Affiliation: Sichuan University of Science and Engineering, Indira Gandhi National Tribal University, Sanya University, Islamic Azad University, Karaj, Sefako Makgatho Health Sciences University, University of Pretoria

#C-Class Functions #Rational Type Contractive Condition + Show 8 more

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Abstract

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.

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