On the strong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space

M. Basarir, A. Sahin

Abstract


In this paper, we give the strong and $Delta$-convergence theorems of the modified $S$-iteration and the modified two-step iteration processes for total asymptotically nonexpansive mappings on a CAT(0) space. Our results extend and improve the corresponding recent results announced by many authors in the literature.

Keywords


CAT(0) space, total asymptotically nonexpansive mapping, strong convergence, $\Delta$-convergence, iterative process, fixed point

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