Mann iteration and fixed point theorems for multidimensional matrix transforms with asymptotic properties
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.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Approximation Theory and Sequence Spaces
Optimization and Variational Analysis
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Volume
- 2026
- Issue
- 1
- Publication date
- 9 February 2026
- Language
- EN