SOME NEW FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION WITH AN APPLICATION TO COUPLED FIXED POINT THEORY

Iqbal M. Batiha; Besma Laouadi; Iqbal H. Jebril; Leila Benaoua; Taki Eddine Oussaeif; Shawkat Alkhazaleh

doi:10.28919/afpt/8714

SOME NEW FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION WITH AN APPLICATION TO COUPLED FIXED POINT THEORY

Iqbal M. Batiha
, Besma Laouadi
, Iqbal H. Jebril
, Leila Benaoua
, Taki Eddine Oussaeif
, Shawkat Alkhazaleh

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Oum El Bouaghi
Jadara University

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

3 Scopus citations

Abstract

The aim of this article is to present several new theorems related to fixed points by considering a rational-type contractive condition on the mapping A, in the context of complete b-metric spaces. Our results extend and improve many earlier theorems in the literature. As an application, coupled fixed point results are given in the same framework. Furthermore, to demonstrate the practical applicability of the results obtained, a few examples are showcased.

Original language	English
Article number	52
Journal	Advances in Fixed Point Theory
Volume	14
DOIs	https://doi.org/10.28919/afpt/8714
State	Published - 2024

Keywords

Picard sequence
b-metric space
coupled fixed point
fixed point
rational type contraction mapping

Access to Document

10.28919/afpt/8714

Cite this

@article{85bf234a40df48af8cb309a6c80fe975,

title = "SOME NEW FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION WITH AN APPLICATION TO COUPLED FIXED POINT THEORY",

abstract = "The aim of this article is to present several new theorems related to fixed points by considering a rational-type contractive condition on the mapping A, in the context of complete b-metric spaces. Our results extend and improve many earlier theorems in the literature. As an application, coupled fixed point results are given in the same framework. Furthermore, to demonstrate the practical applicability of the results obtained, a few examples are showcased.",

keywords = "Picard sequence, b-metric space, coupled fixed point, fixed point, rational type contraction mapping",

author = "Batiha, \{Iqbal M.\} and Besma Laouadi and Jebril, \{Iqbal H.\} and Leila Benaoua and Oussaeif, \{Taki Eddine\} and Shawkat Alkhazaleh",

note = "Publisher Copyright: {\textcopyright} 2024 the author(s).",

year = "2024",

doi = "10.28919/afpt/8714",

language = "English",

volume = "14",

journal = "Advances in Fixed Point Theory",

issn = "1927-6303",

publisher = "SCIK Publishing Corporation",

}

TY - JOUR

T1 - SOME NEW FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION WITH AN APPLICATION TO COUPLED FIXED POINT THEORY

AU - Batiha, Iqbal M.

AU - Laouadi, Besma

AU - Jebril, Iqbal H.

AU - Benaoua, Leila

AU - Oussaeif, Taki Eddine

AU - Alkhazaleh, Shawkat

PY - 2024

Y1 - 2024

N2 - The aim of this article is to present several new theorems related to fixed points by considering a rational-type contractive condition on the mapping A, in the context of complete b-metric spaces. Our results extend and improve many earlier theorems in the literature. As an application, coupled fixed point results are given in the same framework. Furthermore, to demonstrate the practical applicability of the results obtained, a few examples are showcased.

AB - The aim of this article is to present several new theorems related to fixed points by considering a rational-type contractive condition on the mapping A, in the context of complete b-metric spaces. Our results extend and improve many earlier theorems in the literature. As an application, coupled fixed point results are given in the same framework. Furthermore, to demonstrate the practical applicability of the results obtained, a few examples are showcased.

KW - Picard sequence

KW - b-metric space

KW - coupled fixed point

KW - fixed point

KW - rational type contraction mapping

UR - https://www.scopus.com/pages/publications/85205013765

U2 - 10.28919/afpt/8714

DO - 10.28919/afpt/8714

M3 - Article

AN - SCOPUS:85205013765

SN - 1927-6303

VL - 14

JO - Advances in Fixed Point Theory

JF - Advances in Fixed Point Theory

M1 - 52

ER -

SOME NEW FIXED POINT THEOREMS OF RATIONAL TYPE CONTRACTION WITH AN APPLICATION TO COUPLED FIXED POINT THEORY

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this