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

In the present article, we introduce a new type of generalized multivalued orthogonal contraction 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 w...

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Bibliographic Details
Published in:Topological algebra and its applications 2022-08, Vol.10 (1), p.113-131
Main Authors: Mewomo, Oluwatosin Temitope, Leyew, Bahru Tsegaye, Abbas, Mujahid
Format: Article
Language:English
Subjects:
contraction
fixed point
generalized orthogonal
generalized orthogonal α -f-contraction
integral type
Orthogonal metric space
periodic point
preserving
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Summary:In the present article, we introduce a new type of generalized multivalued orthogonal contraction 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 -contraction of integral type mappings in orthogonal metric spaces.
ISSN:2299-3231
2299-3231
DOI:10.1515/taa-2022-0118