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2014•ScienceAsiaOpen access

Convergence of three-step iterations for total asymptotically nonexpansive mappings in uniformly convex Banach spaces

Zhanfei Zuo

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Abstract

In this paper, we study a three-step iterative scheme for total asymptotically nonexpansive mappings in uniformly convex Banach spaces.As an application, several convergence theorems of this scheme are established for total asymptotically nonexpansive mappings.The results obtained in this paper are an extension and refinement of some previous results.

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In this paper, we study a three-step iterative scheme for total asymptotically nonexpansive mappings in uniformly convex Banach spaces.As an application, several convergence theorems of this scheme are established for total asymptotically nonexpansive mappings.The results obtained in this paper are an extension and refinement of some previous results.

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Available abstract

In this paper, we study a three-step iterative scheme for total asymptotically nonexpansive mappings in uniformly convex Banach spaces.As an application, several convergence theorems of this scheme are established for total asymptotically nonexpansive mappings.The results obtained in this paper are an extension and refinement of some previous results.

Key concepts: Banach space, Regular polygon, Mathematics, Convergence (economics), Uniformly convex space, Pure mathematics, Applied mathematics, Banach manifold

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