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

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

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

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Article number	1663
Journal	Symmetry
Volume	14
Issue number	8
DOIs	https://doi.org/10.3390/sym14081663
Publication status	Published - Aug 2022
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

Access to Document

10.3390/sym14081663

Cite this

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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 (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.",

keywords = "C-class functions, coupled fixed point, inverse Ck-class functions, partially ordered H-metric",

author = "Xiaolan Liu and Mi Zhou and Ansari, \{Arslan H.\} and Kalyan Chakrabarti and Mujahid Abbas and Laxmi Rathour",

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AU - Ansari, Arslan H.

AU - Chakrabarti, Kalyan

AU - Abbas, Mujahid

AU - Rathour, Laxmi

PY - 2022/8

Y1 - 2022/8

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AB - 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.

KW - C-class functions

KW - coupled fixed point

KW - inverse Ck-class functions

KW - partially ordered H-metric

UR - https://www.scopus.com/pages/publications/85137355536

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