Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces
Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces
We study Krasnoselskii-Mann style iterative algorithms for approximating fixpoints of asymptotically weakly contractive mappings, with a focus on providing generalized convergence proofs along with explicit rates of convergence. More specifically, we define a new notion of being asymptotically ψ-weakly contractive with modulus, and present a series of abstract convergence theorems …