Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space

M. Gunaseelan; G. Arul Joseph; Y. Mahendra Singh; Kenan Tas; M. S. Khan

doi:10.1142/S1793557125501207

Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space

M. Gunaseelan
, G. Arul Joseph
, Y. Mahendra Singh
, Kenan Tas^*
, M. S. Khan

^*Corresponding author for this work

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

Abstract

The aim of this study is to introduce a new α −ℱ⊥− contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.

Original language	English
Article number	2550120
Journal	Asian-European Journal of Mathematics
DOIs	https://doi.org/10.1142/S1793557125501207
Publication status	Published - 2025

Keywords

fixed point
orthogonal complete metric space
orthogonal continuous
orthogonal preserving
Orthogonal set
α− admissible
ℱ− contraction

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10.1142/S1793557125501207

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title = "Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space",

abstract = "The aim of this study is to introduce a new α −ℱ⊥− contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.",

keywords = "fixed point, orthogonal complete metric space, orthogonal continuous, orthogonal preserving, Orthogonal set, α− admissible, ℱ− contraction",

author = "M. Gunaseelan and \{Arul Joseph\}, G. and \{Mahendra Singh\}, Y. and Kenan Tas and Khan, \{M. S.\}",

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T1 - Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space

AU - Gunaseelan, M.

AU - Arul Joseph, G.

AU - Mahendra Singh, Y.

AU - Tas, Kenan

AU - Khan, M. S.

PY - 2025

Y1 - 2025

N2 - The aim of this study is to introduce a new α −ℱ⊥− contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.

AB - The aim of this study is to introduce a new α −ℱ⊥− contraction mapping of the Hardy–Rogers type. We investigate the existence of a fixed point for such mappings in orthogonal complete metric spaces and prove some consequences. The results of the paper generalize and expand a number of recent publications of the last decade in the literature. As an application, we establish the existence of a solution of nonlinear Fredholm integral equation.

KW - fixed point

KW - orthogonal complete metric space

KW - orthogonal continuous

KW - orthogonal preserving

KW - Orthogonal set

KW - α− admissible

KW - ℱ− contraction

UR - https://www.scopus.com/pages/publications/105020731672

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DO - 10.1142/S1793557125501207

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JO - Asian-European Journal of Mathematics

JF - Asian-European Journal of Mathematics

M1 - 2550120

ER -

Hardy–Rogers-type α −ℱ⊥− contraction mapping on O− complete metric space

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Keywords

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