ON A COMMON FIXED POINT THEOREM IN INTUITIONISTIC MENGER SPACE VIA C CLASS AND INVERSE C CLASS FUNCTIONS WITH CLR PROPERTY

Ghemam Hamed Laid; Iqbal M. Batiha; Leila Benaoua; Taki Eddine Oussaeif; Besma Laouadi; Iqbal H. Jebril

doi:10.22771/nfaa.2024.29.03.15

ON A COMMON FIXED POINT THEOREM IN INTUITIONISTIC MENGER SPACE VIA C CLASS AND INVERSE C CLASS FUNCTIONS WITH CLR PROPERTY

Ghemam Hamed Laid
, Iqbal M. Batiha
, Leila Benaoua
, Taki Eddine Oussaeif
, Besma Laouadi
, Iqbal H. Jebril

Nonlinear Dynamic Research Centre (NDRC)

University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

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

7 Scopus citations

Abstract

The objective of this paper is to ascertain the existence and uniqueness of common fixed point for four self mappings in intuitionistic Menger metric spaces under some conditions extending to (CLR) property and C-class functions. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses. As an application to our main result, we derive a common fixed point theorem for four self-mappings in metric space. Our results generalize several works, including [4], [20].

Original language	English
Pages (from-to)	899-912
Number of pages	14
Journal	Nonlinear Functional Analysis and Applications
Volume	29
Issue number	3
DOIs	https://doi.org/10.22771/nfaa.2024.29.03.15
State	Published - 2024

Keywords

C-class functions
CLR property
Intuitionistic Menger space
inverse C-class functions
weakly compatible mappings

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10.22771/nfaa.2024.29.03.15

Cite this

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title = "ON A COMMON FIXED POINT THEOREM IN INTUITIONISTIC MENGER SPACE VIA C CLASS AND INVERSE C CLASS FUNCTIONS WITH CLR PROPERTY",

abstract = "The objective of this paper is to ascertain the existence and uniqueness of common fixed point for four self mappings in intuitionistic Menger metric spaces under some conditions extending to (CLR) property and C-class functions. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses. As an application to our main result, we derive a common fixed point theorem for four self-mappings in metric space. Our results generalize several works, including [4], [20].",

keywords = "C-class functions, CLR property, Intuitionistic Menger space, inverse C-class functions, weakly compatible mappings",

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

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doi = "10.22771/nfaa.2024.29.03.15",

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pages = "899--912",

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AU - Laid, Ghemam Hamed

AU - Batiha, Iqbal M.

AU - Benaoua, Leila

AU - Oussaeif, Taki Eddine

AU - Laouadi, Besma

AU - Jebril, Iqbal H.

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AB - The objective of this paper is to ascertain the existence and uniqueness of common fixed point for four self mappings in intuitionistic Menger metric spaces under some conditions extending to (CLR) property and C-class functions. Some illustrative examples are furnished, which demonstrate the validity of the hypotheses. As an application to our main result, we derive a common fixed point theorem for four self-mappings in metric space. Our results generalize several works, including [4], [20].

KW - C-class functions

KW - CLR property

KW - Intuitionistic Menger space

KW - inverse C-class functions

KW - weakly compatible mappings

UR - https://www.scopus.com/pages/publications/85203202658

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SN - 1229-1595

VL - 29

SP - 899

EP - 912

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 3

ER -

ON A COMMON FIXED POINT THEOREM IN INTUITIONISTIC MENGER SPACE VIA C CLASS AND INVERSE C CLASS FUNCTIONS WITH CLR PROPERTY

Abstract

Keywords

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