Interpolative results for cyclic multivalued and Perov type contractions

Naila Shabir

https://orcid.org/0009-0009-9780-8893

Pakistan

Government College University, Lahore image/svg+xml

Ali Raza

https://orcid.org/0000-0002-0616-8520

Pakistan

Government College University, Lahore image/svg+xml

Mujahid Abbas

https://orcid.org/0000-0001-5528-1207

South Africa

University of Johannesburg

Department of Mechanical Engineering Sciences, and Department of Medical Research, China Medical University

Submitted: 2026-02-17

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Accepted: 2026-06-02

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Published: 2026-06-30

DOI: https://doi.org/10.4995/agt.25664

Copyright (c) 2026 Naila Shabir, Ali Raza, Mujahid Abbas

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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Keywords:

fixed point, cyclic multivalued mappings, interpolative Kannan type contraction, Perov type contraction, vector valued metric spaces

Supporting agencies:

This research was not funded

Abstract:

The aim of this paper is to obtain fixed point results for interpolative Kannan type contraction mappings. The purpose of this paper is two fold: one relates to the fixed point results for multivalued cyclic interpolative Kannan type contractions, and second deals with proving the Perov fixed point result for interpolative Kannan type contraction mappings in the framework of vector valued metric spaces.

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