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

Source 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.