A Note on the Constructive Scheme for Tetrad Fixed Point Theorem in Hilbert Spaces
Subject Areas : Fixed Point Theory and its Applications
1 - Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
Keywords: Tetrad fixed point, Parallelogram law, mapping, Mann iterative scheme,
Abstract :
The idea of fixed point theory has primarily become a focus of research interest in the area of mathematical analysis, especially for its vast application. Tetrad fixed point is an extension of tripled fixed point theory. This research presents tetrad fixed point iteration for approximating tetrad fixed points in linear spaces within the context of a Hilbert space. Consequently, a tetrad Mann iterative scheme is established and applied to resolve the problem of common tetrad fixed points of certain mappings. Hence, this work is an extension of recent research available in the literature.