Fixed point results for generalized multivalued orthogonal <i>α</i>-<i>F</i>-contraction of integral type mappings in orthogonal metric spaces-Reference-Cited by-同舟云学术

Fixed point results for generalized multivalued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces

Published:2022-01-01 Issue:1 Volume:10 Page:113-131
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Mewomo Oluwatosin Temitope¹,Leyew Bahru Tsegaye²,Abbas Mujahid³

Affiliation:

1. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa

2. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa and Department of Mathematics , College of Natural and Computational Sciences , Addis Ababa Univeristy , Addis Ababa , Ethiopia

3. Department of Mathematics , Government College University , Katchery Road, Lahore 54000 , Pakistan

Abstract

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α-Fcontraction of integral type mappings in the context of orthogonal metric spaces and establish some fixed point results. We construct an example to show the existence of the new type of mappings introduce in this work. Our results substantially unify, generalize and complement the comparable results in the existing literature. As an application of our results, we derive periodic point results for the generalized single valued orthogonal α-F-contraction of integral type mappings in orthogonal metric spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2022-0118/pdf

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