Fixed Point Results for α,⊥F -Contractions in Orthogonal F -Metric Spaces with Applications

Jamshaid Ahmad; Ahmed Saleh Al-Rawashdeh; Abdullah Eqal Al-Mazrooei

doi:10.1155/2022/8532797

Fixed Point Results for α,⊥F -Contractions in Orthogonal F -Metric Spaces with Applications

Jamshaid Ahmad
, Ahmed Saleh Al-Rawashdeh
, Abdullah Eqal Al-Mazrooei

Department of Mathematical Sciences

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

9 Citations (Scopus)

Abstract

The main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our foremost result, we look into the solution of a nonlinear fractional differential equation.

Original language	English
Article number	8532797
Journal	Journal of Function Spaces
Volume	2022
DOIs	https://doi.org/10.1155/2022/8532797
Publication status	Published - 2022

ASJC Scopus subject areas

Analysis

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10.1155/2022/8532797

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abstract = "The main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our foremost result, we look into the solution of a nonlinear fractional differential equation.",

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AU - Al-Rawashdeh, Ahmed Saleh

AU - Al-Mazrooei, Abdullah Eqal

PY - 2022

Y1 - 2022

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AB - The main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our foremost result, we look into the solution of a nonlinear fractional differential equation.

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Fixed Point Results for α,⊥F -Contractions in Orthogonal F -Metric Spaces with Applications

Abstract

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