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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 (Formula presented.) -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.

Original languageEnglish
Article number1663
JournalSymmetry
Volume14
Issue number8
DOIs
Publication statusPublished - Aug 2022
Externally publishedYes

Keywords

  • C-class functions
  • coupled fixed point
  • inverse Ck-class functions
  • partially ordered H-metric

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