Fixed point theorems for enriched Kannan-type mappings and application

Autor: Yao Yu, Chaobo Li, Dong Ji
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 8, Pp 21580-21595 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241048?viewType=HTML
Popis: The aim of this paper is to establish some fixed point results for enriched Kannan-type mappings in convex metric spaces. We first give an affirmative answer to a recent Berinde and Păcurar's question (Remark 2.3) [J. Comput. Appl. Math., 386 (2021), 113217]. Furthermore, we establish the existence and uniqueness of fixed points for Suzuki-enriched Kannan-type mappings in the setting of convex metric spaces. Finally, we present an application to approximate the solution of the Volterra integral equations to support our results.
Databáze: Directory of Open Access Journals