2006•Journal of Henan Normal UniversityRequires access

Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member in Uniformly Convexity Banach Spaces

Fu Li

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Abstract

In the paper,we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically nonexpansive type mappings with error in uniformly convexity Banach spaces,we obtain a strong convergence theorem of Ishikawa iterative sequence with error approximation asymptotically nonexpansive type mappings,and we improve some recent results.

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What this paper is about

In the paper,we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically nonexpansive type mappings with error in uniformly convexity Banach spaces,we obtain a strong convergence theorem of Ishikawa iterative sequence with error approximation asymptotically nonexpansive type mappings,and we improve some recent results.

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Available abstract

In the paper,we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically nonexpansive type mappings with error in uniformly convexity Banach spaces,we obtain a strong convergence theorem of Ishikawa iterative sequence with error approximation asymptotically nonexpansive type mappings,and we improve some recent results.

Key concepts: Banach space, Mathematics, Convexity, Fixed point, Sequence (biology), Convergence (economics), Type (biology), Applied mathematics

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