Stability and Convergence Theorems for Enriched Kannan Mappings in \(\operatorname {CAT_p}(0)\) Spaces with Aplications

Abstract

This paper establishes convergence results for enriched Kannan mappings in \( \operatorname{CAT_p}(0) \) spaces, emphasizing both \( \Delta \)-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 under perturbations is also analyzed. An application to the Split Feasibility Problem is presented, including a numerical example in image reconstruction. Additional numerical experiments illustrate the theoretical findings.