An Extended Almost Weak Contraction in Relational Metric Space and Applications to Nonlinear Matrix Equations

Journal of Mathematics 2026 Open access

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Authors: Doaa Filali, Esmail Alshaban, Adel Alatawi, Bassam Z. Albalawi, Fahad M. Alamrani, Faizan Ahmad Khan
DOI: 10.1155/jom/1867444
Cited by: 1
References: 37

Abstract

This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings. We formulate a metrical fixed point theorem for almost Boyd–Wong contractions in the course of the procedure. We provide numerous examples of illustration in favour of our findings. Our results enable us to find a unique solution to a class of nonlinear matrix equations.

Fields of Study & Subjects

Fixed Point Theorems Analysis Nonlinear Differential Equations Analysis Optimization and Variational Analysis

Publication details

Journal / source
Journal of Mathematics
Publisher
Wiley
Volume
2026
Issue
1
Publication date
1 January 2026
Language
EN