Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in CAT ( 0 ) $\operatorname {CAT}(0)$ spaces

Proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0)$\operatorname{CAT}(0)$ spaces

Convergence Theorems for -Nonexpansive Mappings in CAT(0) Spaces

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.

Strong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)

In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature  generalize, unify and extend.

convergence theorems for -nonexpansive mappings in cat(0) spaces

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.

Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces

In this paper, we consider some iteration processes for one-parameter continuous semigroups of nonexpansive mappings in a nonempty compact convex subset C of a complete CAT(0) space X and prove that the proposed sequence converges to a common fixed point for these semigroups of nonexpansive mappings. Note that our results generalize Cho et al. result (Nonlinear Anal. 74:6050-6059, 2011) and rel...