CONVERGENCE THEOREMS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT (0) SPACES

Balwant Singh Thakur,Dipti Thakur,Ravi P. Agarwal

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS（2017）

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摘要

In this paper, we propose a new hybrid iteration for total asypmptotically nonexpansive mappings. We establish Delta-convergence and strong convergence theorems on a CAT(0) space which extend and improve many results in this literature. We also provide numerical examples to illustrate the performance of proposed iteration.

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关键词

Total asymptotically nonexpansive mappings,Delta-convergence and strong convergence theorem,CAT(0) space

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