Mohamed Edraoui, Soukaina Semami, Amine El'koufi, Mohamed Aamri, “On cyclic interpolative Kannan-Meir-Keeler type contraction in metric spaces”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 4,Pages <nobr>448

On cyclic interpolative Kannan-Meir-Keeler type contraction in metric spaces

Mohamed Edraoui^a, Soukaina Semami^a, Amine El'koufi^bc, Mohamed Aamri^a

^a Hassan II University, Casablanca, Morocco
^b High School of Technology, Ibn Tofail University, BP 240, Kenitra, Morocco
^c Faculty of Sciences, Ibn Tofail University, BP 133, Kenitra, Morocco

Abstract: This paper introduces the idea of interpolative contractions within the category of Kannan-Meir-Keeler type cyclic contractions. Additionally, we provide a demonstration establishing the existence of a fixed point in a complete metric space.

Keywords: interpolative, cyclic contraction, fixed point, metric space, Kannan Meir-Keeler.

UDC: 517.9; 515.124

Received: 10.11.2023
Received in revised form: 15.12.2023
Accepted: 14.03.2024

Language: English