Work

Mann iteration and fixed point theorems for multidimensional matrix transforms with asymptotic properties

Year: 2026

Type: article

Abstract: Fixed point theorems for nonexpansive mappings are extended to double sequences using four-dimensional matrix transforms. Asymptotic dominance is introduced to unify iteration schemes, including a Mann iteration for Pringsheim convergence, and asymptotic regularity is established under conditions weaker than RH-regularity.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03443-6

Authors: Sami M. Hamid, Richard F. Patterson

Institution: University of North Florida

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7128422687

FWCI:

Cites: 14

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