Journal of Siberian Federal University. Mathematics & Physics / ϕ-fixed Point Results in b-metric Spaces with wt-distance

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Issue
Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (6)
Authors
Ranajit Jyoti; Binayak S. Choudhury; Nikhilesh Metiya; Santu Dutta; Sankar P. Mondal
Contact information
Ranajit Jyoti: Department of Mathematics Indian Institute of Engineering Science and Technology, Shibpur Howrah-711103, West Bengal, India; ; Binayak S. Choudhury: Department of Mathematics Indian Institute of Engineering Science and Technology, Shibpur Howrah-711103, West Bengal, India; ; Nikhilesh Metiya: Department of Mathematics Sovarani Memorial College, Jagatballavpur Howrah-711408, India; ; Santu Dutta: Calcutta Institute of Science and Management Calcutta-700040, West Bengal, India; ; Sankar P. Mondal: Department of Applied Sciences Maulana Abul Kalam Azad University of Technology, Haringhata Nadia-741249, West Bengal, India;
Keywords
b-metric space; wt-distance; fixed point; ϕ-fixed point; integral equation
Abstract

In this paper, our program is to obtain a ϕ-fixed point result along with some applications. The problem considered here is formulated by combining together several recent trends in metric fixed point theory and its extensions. Two illustrative examples are discussed. It is shown that some results existing in the literature are extended by our main theorem. The application presented is in the area of Volterra and Fredholm integral equations

Pages
698–709
EDN
HUOADS
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/154107