Invariant approximation for CAT(0)CAT(0) spaces

In this paper, for commuting pair consisting of a single-valued mapping tt and multi-valued mapping TT, which are satisfying Suzuki’s condition CC, in a CAT(0)CAT(0) space XX, we look for a solution to the problem of existence of z∈K⊂Xz∈K⊂X such that z=t(z)∈T(z)z=t(z)∈T(z), where KK is a bounded closed convex subset of XX. Our results improve and extend some recent results of Shahzad and Markin (2008) [12].