Generalized fixed-point theorems for enriched contractions in quasi-metric and nonlinear spaces
Applicable Nonlinear Analysis, Volume 2, Issue 1, April 2025, Pages: 22–41
SAEED HASHEMI SABABE
R&D Section, Data Premier Analytics, Edmonton, Canada
Abstract
This manuscript extends the enriched contraction mapping principles from quasi-Banach spaces to broader mathematical settings, including quasi-metric and nonlinear spaces. This manuscript presents novel theoretical results, proposes iterative computational algorithms, and provides concrete examples to illustrate the effectiveness of these generalizations. Numerical approaches and applications to quasi-metric spaces are also explored.
Cite this Article as
Saeed Hashemi Sababe, Generalized fixed-point theorems for enriched contractions in quasi-metric and nonlinear spaces, Applicable Nonlinear Analysis, 2(1), 22–41, 2025