Fixed points results for various types of interpolative cyclic contraction

Mohamed Edraoui

https://orcid.org/0000-0002-3324-2546

Morocco

University of Hassan II Casablanca image/svg+xml

Laboratory of Algebra, Analysis and Applications, Department of Mathematics and Computer Sciences, Ben M’Sik Faculty of Sciences

Amine El koufi

https://orcid.org/0000-0001-6566-8181

Morocco

Université Ibn-Tofail image/svg+xml

High School of Technology

Lab of PDE’s, Algebra and spectral geometry, Faculty of Sciences

Soukaina Semami

https://orcid.org/0000-0002-7056-5117

Morocco

University of Hassan II Casablanca image/svg+xml

Mathematics & Informatics Department, Faculty of Science Ain Chock

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Accepted: 2023-06-01

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Published: 2023-10-02

DOI: https://doi.org/10.4995/agt.2023.19515
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Keywords:

cyclic mapping, interpolative Kannan, fixed point, metric space, interpolative Ćirić-Reich-Rus

Supporting agencies:

This research was not funded

Abstract:

In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.

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