FIXED POINT OF HARDY-ROGERS CONTRACTION MAPPINGS IN NON-SOLID CONE χb-METRIC SPACE WITH APPLICATIONS

Zahia Djedid; Iqbal M. Batiha; Sharifa Alsharif; Sana Abu-Ghurra; Mazin Aljazzazi; Jamila Jawdat

doi:10.28919/afpt/9304

FIXED POINT OF HARDY-ROGERS CONTRACTION MAPPINGS IN NON-SOLID CONE χ_b-METRIC SPACE WITH APPLICATIONS

Zahia Djedid
, Iqbal M. Batiha
, Sharifa Alsharif
, Sana Abu-Ghurra
, Mazin Aljazzazi
, Jamila Jawdat

Nonlinear Dynamic Research Centre (NDRC)

University of Science and Technology Houari Boumediene
Al-Zaytoonah University of Jordan
Yarmouk University
Applied Science Private University
University of Jordan
Zarqa University

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

Abstract

The concept of cone χ_b-metric spaces was recently introduced in 2023 as a generalization of both cone metric spaces and traditional χ-metric spaces, allowing for the possibility that the underlying cones are non-solid. The main objective of this article is to establish certain fixed point results for Hardy–Rogers-type mappings and to investigate the T-stability of Picard’s iteration in the framework of non-solid cone χ_b-metric spaces. As an application, we employ the main results to demonstrate the existence and uniqueness of solutions to a nonlinear integral equation.

Original language	English
Article number	25
Journal	Advances in Fixed Point Theory
Volume	15
DOIs	https://doi.org/10.28919/afpt/9304
State	Published - 2025

Keywords

T-stability
cone χ-metric spaces
fixed point
non-solid cone

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10.28919/afpt/9304

Cite this

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title = "FIXED POINT OF HARDY-ROGERS CONTRACTION MAPPINGS IN NON-SOLID CONE χb-METRIC SPACE WITH APPLICATIONS",

abstract = "The concept of cone χb-metric spaces was recently introduced in 2023 as a generalization of both cone metric spaces and traditional χ-metric spaces, allowing for the possibility that the underlying cones are non-solid. The main objective of this article is to establish certain fixed point results for Hardy–Rogers-type mappings and to investigate the T-stability of Picard{\textquoteright}s iteration in the framework of non-solid cone χb-metric spaces. As an application, we employ the main results to demonstrate the existence and uniqueness of solutions to a nonlinear integral equation.",

keywords = "T-stability, cone χ-metric spaces, fixed point, non-solid cone",

author = "Zahia Djedid and Batiha, \{Iqbal M.\} and Sharifa Alsharif and Sana Abu-Ghurra and Mazin Aljazzazi and Jamila Jawdat",

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T1 - FIXED POINT OF HARDY-ROGERS CONTRACTION MAPPINGS IN NON-SOLID CONE χb-METRIC SPACE WITH APPLICATIONS

AU - Djedid, Zahia

AU - Batiha, Iqbal M.

AU - Alsharif, Sharifa

AU - Abu-Ghurra, Sana

AU - Aljazzazi, Mazin

AU - Jawdat, Jamila

PY - 2025

Y1 - 2025

N2 - The concept of cone χb-metric spaces was recently introduced in 2023 as a generalization of both cone metric spaces and traditional χ-metric spaces, allowing for the possibility that the underlying cones are non-solid. The main objective of this article is to establish certain fixed point results for Hardy–Rogers-type mappings and to investigate the T-stability of Picard’s iteration in the framework of non-solid cone χb-metric spaces. As an application, we employ the main results to demonstrate the existence and uniqueness of solutions to a nonlinear integral equation.

AB - The concept of cone χb-metric spaces was recently introduced in 2023 as a generalization of both cone metric spaces and traditional χ-metric spaces, allowing for the possibility that the underlying cones are non-solid. The main objective of this article is to establish certain fixed point results for Hardy–Rogers-type mappings and to investigate the T-stability of Picard’s iteration in the framework of non-solid cone χb-metric spaces. As an application, we employ the main results to demonstrate the existence and uniqueness of solutions to a nonlinear integral equation.

KW - T-stability

KW - cone χ-metric spaces

KW - fixed point

KW - non-solid cone

UR - https://www.scopus.com/pages/publications/105010060678

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DO - 10.28919/afpt/9304

M3 - Article

AN - SCOPUS:105010060678

SN - 1927-6303

VL - 15

JO - Advances in Fixed Point Theory

JF - Advances in Fixed Point Theory

M1 - 25

ER -

FIXED POINT OF HARDY-ROGERS CONTRACTION MAPPINGS IN NON-SOLID CONE χ_b-METRIC SPACE WITH APPLICATIONS

Abstract

Keywords

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