We analyze weak convergence on CAT(0) spaces and the existence properties of corresponding topologies.

In this paper, we study the geometry of cone-offs CAT(0) cube complexes over a family combinatorially convex subcomplexes, with an emphasis on their Gromov-hyperbolicity. A first application gives direct cubical proof characterization (strong) relative hyperbolicity right-angled Coxeter groups, which is particular case result due to Behrstock, Caprace, Hagen and Sisto. second acylindrical C ′ (...

In this paper we derive convergence theorems for an -nonexpansive mappingof a nonempty closed and convex subset of a complete CAT(0) space for SP-iterative process and Thianwan's iterative process.

In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...