Fixed point theorem for asymptotically nonexpansive mappings under a new iteration sequence in CAT(0) space

Document Type : Research Paper


1 Mathematics Science, Ministry of Education, Directorate of Education Baghdad Al-Rusafa 1{st}, Iraq

2 Department of mathematics, College of Education for pure science (Ibn-ALHaitham), university of Baghdad, Baghdad, Iraq


This paper is to define a new iterative scheme under a special sequence of asymptotically nonexpansive mapping with a special sequence. We prove some convergence, existence in {CAT(0)} space.