Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
Balwant Singh Thakur, Dipti Thakur, Mihai Postolache · Fixed Point Theory and Applications · 2015
Abstract In this paper, using the modified hybrid Picard-Mann iteration process, we establish Δ-convergence and strong convergence theorems for total asymptotically nonexpansive mappings on a $CAT(0)$ C A T ( 0 ) space. Results established in the paper extend and improve a number of results in the literature. A numerical example is also given to examine the fastness of the proposed iteration process under different control conditions and initial points.