Motivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT 0 spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergence theorem for nonself mappings is also discussed.
Abstract. We give some sufficient conditions for normal structure in terms of the von Neumann-Jordan constant, the James constant and the weak orthogonality coefficient introduced by B. Sims. In the rest of the paper, the von Neumann-Jordan constant and the James constant for the Bynum space 2,∞ are computed, and are used to show that our results are sharp.
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