Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications

In this paper, we introduce the concept of generalized orthogonal F-Suzuki contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the...

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Bibliographic Details
Main Authors: Ismat Beg, Gunaseelan Mani, Arul Joseph Gnanaprakasam
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6692112
Description
Summary:In this paper, we introduce the concept of generalized orthogonal F-Suzuki contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the existence of a unique solution of the first-order ordinary differential equation.
ISSN:2314-8888