A Note on the Constructive Scheme for Tetrad Fixed Point Theorem in Hilbert Spaces

Theory of Approximation and Applications

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 مهر 1401

نوع مقاله: Research Articles

نویسنده

Samuel Adamariko Aniki^*

Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria

چکیده

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.

کلیدواژه‌ها

Mann iterative scheme؛ Tetrad fixed point؛ Mapping؛ Parallelogram law