Some Fixed Point Theorems for \((\alpha,\beta,z)\)-Contraction Mapping under Simulation Functions in Banach Space

In this paper, we prove some fixed point results in the setting of a Banach space via a cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded in simulation function. Our results extend and generalize some well known results in the existing literature.

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Published in:Communications in Mathematics and Applications 2023-01, Vol.14 (1), p.1-7
Main Authors: Dwivedi, Snehlata, Mishra, Urmila, Dubey, A.K., Pandey, M.D.
Format: Article
Language:English
Subjects:
Applied mathematics
Banach spaces
Fixed points (mathematics)
Mapping
Simulation
Theorems
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Mishra, Urmila
Dubey, A.K.
Pandey, M.D.
description In this paper, we prove some fixed point results in the setting of a Banach space via a cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded in simulation function. Our results extend and generalize some well known results in the existing literature.
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subjects Applied mathematics
Banach spaces
Fixed points (mathematics)
Mapping
Simulation
Theorems
title Some Fixed Point Theorems for \((\alpha,\beta,z)\)-Contraction Mapping under Simulation Functions in Banach Space
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