Stability and Convergence Theorems for Enriched Kannan Mappings in CATp(0) Spaces with Aplications

This paper establishes convergence results for enriched Kannan mappings in CATp(0) spaces,emphasizing both ∆-convergence and strong convergence of CR-type iterative schemes. A Krasnoselskii-type assignment is shown to meet the contractive criteria of classical Kannan mappings. Stability underperturb...

Full description

Autores:
Calderón Sanchez, Kenyi
Tipo de recurso:
Article of investigation
Fecha de publicación:
2025
Institución:
Universidad de Ciencias Aplicadas y Ambientales U.D.C.A
Repositorio:
Repositorio Institucional UDCA
Idioma:
eng
OAI Identifier:
oai:repository.udca.edu.co:11158/6759
Acceso en línea:
https://repository.udca.edu.co/handle/11158/6759
https://doi.org/10.58715/bangmodjmcs.2025.11.15
https://repository.udca.edu.co/
Palabra clave:
510 - Matemáticas::515 - Análisis
Mapeo enriquecido de Kannan
Convergencia
Análisis de estabilidad
Teoría de Puntos Fijos
Enriched Kannan Mappings
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode.es
Description
Summary:This paper establishes convergence results for enriched Kannan mappings in CATp(0) spaces,emphasizing both ∆-convergence and strong convergence of CR-type iterative schemes. A Krasnoselskii-type assignment is shown to meet the contractive criteria of classical Kannan mappings. Stability underperturbations is also analyzed. An application to the Split Feasibility Problem is presented, including anumerical example in image reconstruction. Additional numerical experiments illustrate the theoretical ndings.