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

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

doi:10.3390/sym14081663

Symmetry (Aug 2022)

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

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

Affiliations

Xiaolan Liu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Mi Zhou: School of Science and Techology, University of Sanya, Sanya 572022, China
Arslan H. Ansari: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj 6915136111, Iran
Kalyan Chakrabarti: Department of Mathematics, Scottish Church College, Urquhart Square, Kolkata 700006, India
Mujahid Abbas: Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood Road, Pretoria 0002, South Africa
Laxmi Rathour: Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484887, India

DOI: https://doi.org/10.3390/sym14081663
Journal volume & issue: Vol. 14, no. 8
p. 1663

Abstract

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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.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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