Periodic and fixed points for F-type contractions in b-gauge spaces

Nosheen Zikria; Aiman Mukheimer; Maria Samreen; Tayyab Kamran; Hassen Aydi; Kamal Abodayeh

doi:10.3934/math.20221013

Periodic and fixed points for F-type contractions in b-gauge spaces

Nosheen Zikria, Aiman Mukheimer, Maria Samreen, Tayyab Kamran, Hassen Aydi^*, Kamal Abodayeh

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, we introduce J_s;Ω-families of generalized pseudo-b-distances in b-gauge spaces (U, Q_s;Ω). Moreover, by using these J_s;Ω-families on U, we define the J_s;Ω-sequential completeness and construct an F-type contraction T: U → U. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of b-gauge spaces using J_s;Ω-families on U, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.

Original language	English
Pages (from-to)	18393-18415
Number of pages	23
Journal	AIMS Mathematics
Volume	7
Issue number	10
DOIs	https://doi.org/10.3934/math.20221013
Publication status	Published - 2022
Externally published	Yes

Keywords

F-contraction
b-gauge space
fixed point
generalized pseudo-b-distance
periodic point

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10.3934/math.20221013

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abstract = "In this paper, we introduce Js;Ω-families of generalized pseudo-b-distances in b-gauge spaces (U, Qs;Ω). Moreover, by using these Js;Ω-families on U, we define the Js;Ω-sequential completeness and construct an F-type contraction T: U → U. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of b-gauge spaces using Js;Ω-families on U, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.",

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T1 - Periodic and fixed points for F-type contractions in b-gauge spaces

AU - Zikria, Nosheen

AU - Mukheimer, Aiman

AU - Samreen, Maria

AU - Kamran, Tayyab

AU - Aydi, Hassen

AU - Abodayeh, Kamal

PY - 2022

Y1 - 2022

N2 - In this paper, we introduce Js;Ω-families of generalized pseudo-b-distances in b-gauge spaces (U, Qs;Ω). Moreover, by using these Js;Ω-families on U, we define the Js;Ω-sequential completeness and construct an F-type contraction T: U → U. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of b-gauge spaces using Js;Ω-families on U, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.

AB - In this paper, we introduce Js;Ω-families of generalized pseudo-b-distances in b-gauge spaces (U, Qs;Ω). Moreover, by using these Js;Ω-families on U, we define the Js;Ω-sequential completeness and construct an F-type contraction T: U → U. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of b-gauge spaces using Js;Ω-families on U, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.

KW - F-contraction

KW - b-gauge space

KW - fixed point

KW - generalized pseudo-b-distance

KW - periodic point

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SP - 18393

EP - 18415

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 10

ER -

Periodic and fixed points for F-type contractions in b-gauge spaces

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