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2008•Journal of Shaanxi University of Science & TechnologyRequires access

ISHIKAWA ITERATIVE APPROXIMATION OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS

Fengqun Zhao

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Abstract

In the paper,we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically non-expansive type mappings Ishikawa iterative sequence with errors in uniformly convexity Banach spaces.We obtain a strong convergence theorem.In our main results,under Ishikawa iterative sequence {xn} is bounded and ‖Tnxn-xn‖→0(n→∞).The assumption that K and the range of the mapping T are bounded is not need.

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In the paper,we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically non-expansive type mappings Ishikawa iterative sequence with errors in uniformly convexity Banach spaces.We obtain a strong convergence theorem.In our main results,under Ishikawa iterative sequence {xn} is bounded and ‖Tnxn-xn‖→0(n→∞).The assumption that K and the range of the mapping T are bounded is not need.

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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 non-expansive type mappings Ishikawa iterative sequence with errors in uniformly convexity Banach spaces.We obtain a strong convergence theorem.In our main results,under Ishikawa iterative sequence {xn} is bounded and ‖Tnxn-xn‖→0(n→∞).The assumption that K and the range of the mapping T are bounded is not need.

Key concepts: Sequence (biology), Mathematics, Convexity, Bounded function, Banach space, Fixed point, Convergence (economics), Expansive

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