APPLICATION AND THEOREMS OF COMMON FIXED POINTS IN INTUITIONISTIC MENGER SPACE UNDER CLR PROPERTY

Iqbal M. Batiha; Iqbal H. Jebril; Leila Benaoua; Khaled Berrah; Taki Eddine Oussaeif; Abdelkrim Aliouche; Shawkat Alkhazaleh

doi:10.28919/afpt/8864

APPLICATION AND THEOREMS OF COMMON FIXED POINTS IN INTUITIONISTIC MENGER SPACE UNDER CLR PROPERTY

Iqbal M. Batiha
, Iqbal H. Jebril
, Leila Benaoua
, Khaled Berrah
, Taki Eddine Oussaeif
, Abdelkrim Aliouche
, Shawkat Alkhazaleh

Nonlinear Dynamic Research Centre (NDRC)

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

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

1 Scopus citations

Abstract

In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.

Original language	English
Article number	59
Journal	Advances in Fixed Point Theory
Volume	14
DOIs	https://doi.org/10.28919/afpt/8864
State	Published - 2024

Keywords

CLR property
common fixed point theorems
intuitionistic Menger space
weakly compatible

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10.28919/afpt/8864

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abstract = "In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.",

keywords = "CLR property, common fixed point theorems, intuitionistic Menger space, weakly compatible",

author = "Batiha, \{Iqbal M.\} and Jebril, \{Iqbal H.\} and Leila Benaoua and Khaled Berrah and Oussaeif, \{Taki Eddine\} and Abdelkrim Aliouche and Shawkat Alkhazaleh",

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AU - Batiha, Iqbal M.

AU - Jebril, Iqbal H.

AU - Benaoua, Leila

AU - Berrah, Khaled

AU - Oussaeif, Taki Eddine

AU - Aliouche, Abdelkrim

AU - Alkhazaleh, Shawkat

PY - 2024

Y1 - 2024

N2 - In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.

AB - In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.

KW - CLR property

KW - common fixed point theorems

KW - intuitionistic Menger space

KW - weakly compatible

UR - https://www.scopus.com/pages/publications/85207410637

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DO - 10.28919/afpt/8864

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AN - SCOPUS:85207410637

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JO - Advances in Fixed Point Theory

JF - Advances in Fixed Point Theory

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ER -

APPLICATION AND THEOREMS OF COMMON FIXED POINTS IN INTUITIONISTIC MENGER SPACE UNDER CLR PROPERTY

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Keywords

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