Approximation of a common fixed point using a balanced mapping in Hadamard spaces and its application (Study on Nonlinear Analysis and Convex Analysis)

Abstract

In this paper, we introduce a Mann iteration of a balanced mapping of a countable family of nonexpansive mappings in Hadamard spaces. Further, we prove a strong convergence theorem with the combining projection method of balanced type using a finite family of mappings in a real Hilbert ball.