A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings

Abstract In this paper, we propose a modified proximal point algorithm based on the Thakur iteration process to approximate common element of set solutions convex minimization problems and fixed points two nearly asymptotically quasi-nonexpansive mappings in framework $\operatorname{CAT}(0)$ CAT ( 0 ) spaces. We also prove Δ-convergence proposed algorithm. provide an application numerical result our as well computational by comparing with previously known Sahu’s iteration.