- - - Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - ۴۹۲۰۱۰ (C.G.), India
- - - Department of Mathematics, Texas A & M University - Kingsville - ۷۸۳۶۳-۸۲۰۲, Texas, USA
- - - National Institute of Technology Manipur, Takyelpat, Imphal-۷۹۵۰۰۱, Manipur, India

In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and \Delta-convergence theorems in the framework of CAT(۰) spaces. By doing this, some of the results existing in the current literature  generalize, unify and extend.

total asymptotically nonexpansive mapping, Delta-convergence, strong convergence, Noor iteration process, CAT(۰) space