Abstract

In this paper, we establish $$\bigtriangleup $$ -convergence and strong convergence of Kirk type iteration process in CAT(0) spaces. We apply our results to solve consistent and inconsistent convex feasibility problems in CAT(0) spaces. This work improves and extends the corresponding results of Kirk, Kuhfittig, Rhoades and Takahashi and Tamura on a nonlinear domain.

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