Document Type : Research Paper

Authors

• G.S. Saluja ¹
• Hemant Kumar Nashine ²
• Yumnam Rohen Singh ³

¹ Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India

² Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA

³ National Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, India

Abstract

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(0) spaces. By doing this, some of the results existing in the current literature  generalize, unify and extend.

Keywords

• total asymptotically nonexpansive mapping
• $Delta$-convergence
• strong convergence
• Noor iteration process
• CAT(0) space