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Almost \alpha-F-contraction, fixed points and applications

Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-12-2_029

Index date: 2 December 2022

Almost \alpha-F-contraction, fixed points and applications abstract

In this manuscript, we initiate an almost \alpha-F-contraction and an almost \alpha-F- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. The obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. As applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem.

Almost \alpha-F-contraction, fixed points and applications Keywords:

Almost \alpha-F-contraction, fixed points and applications authors

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Department of Mathematics, Lovely Professional University, Phagwara, Punjab-۱۴۴۴۱۱, India

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Department of Mathematics, Government Degree College Thatyur, Tehri Garhwal(Uttrakhand), India

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School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-۱۴۷۰۰۴, Punjab, India

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Department of Mathematics, G. I. C. Gheradhar (Dogi) Tehri Garhwal (Uttrakhand), India