Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications-Reference-Cited by-同舟云学术

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

Published:2021-03-09 Issue: Volume:2021 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Beg Ismat¹^ORCID,Mani Gunaseelan²^ORCID,Gnanaprakasam Arul Joseph³

Affiliation:

1. Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan

2. Department of Mathematics, Sri Sankara Arts and Science College (Autonomous), Affiliated to Madras University, Enathur, Kanchipuram, Tamil Nadu 631 561, India

3. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India

Abstract

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6692112.pdf

Reference12 articles.

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3. Fixed Points of GeneralizedF-Suzuki Type Contraction in Completeb-Metric Spaces

4. On orthogonal sets and Banach fixed point theorem

5. Fixed point theory in generalized orthogonal metric space;M. Eshaghi Gordji;Journal of Linear and Topological Algebra,2017

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