Work

A novel AA* method for exploring the interplay between fractals, polynomiographs, and fractional calculus

Year: 2025

Type: article

Abstract: We introduce an innovative numerical approach for estimating fixed points of symmetric generalized nonexpansive mappings within uniformly convex Banach spaces. This approach demonstrates a notably quicker convergence rate relative to existing iterative methods. Its effectiveness is confirmed through comprehensive numerical tests, comprising CPU time comparisons and visual representations created in MATLAB, including polynomiographs. Additionally, using the proposed method, we show that solutions to a type of delay fractional differential equations exist and are unique. Our investigation is performed within the scope of Garcia-Falset type mappings, a wider category that includes nonexpansive and Suzuki mappings, thus broadening the relevance of our method.

Source: Journal of King Saud University - Science

DOI: 10.25259/jksus_287_2025

Authors: Hira Iqbal, Hina Dilawer, Rizwan Anjum, Muhammad Azeem, Bandar Almohsen

Institutions: National University of Computer and Emerging Sciences, University of Education, University of Manchester, King Saud University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,600

Funder: King Saud University