Convergence Theorems for Non-Self Mappings in CAT(0) Spaces

Abebe Regassa Tufa, Habtu Zegeye, M. Thuto · Numerical Functional Analysis and Optimization · 2016

In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.

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