A New Iterative Algorithm for Total Asymptotically Non-Expansive Mapping in CAT(0) Spaces

Abstract

In this paper, we provide certain fixed point results for a total asymptotically non-expansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of CAT(0) spaces. Furthermore, we establish strong and \(\Delta\)-converges theorem for total asymptotically non-expansive mapping in CAT(0) space. Our result, generalizes, improve, extend and unify the results of Thakur et al. [1], Izhar et al. [2] and many more in this direction.