A generalization of the (CN) inequality and its applications

Thanomsak Laokul, Bancha Panyanak · Carpathian Journal of Mathematics · 2020

We extend the (CN) inequality of Bruhat and Tits in CAT(0) spaces to the general setting of uniformly convex hyperbolic spaces. We also show that, under some appropriate conditions, the sequence of Ishikawa iteration defined by Panyanak converges to a strict fixed point of a multi-valued Suzuki mapping.

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