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OALib Journal期刊
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Approximation of Fixed Points of Asymptotically k strict Pseudocontractive Mapping in the Intermediate Sense in Banach Space

Keywords: Banach space;uniformly LLipschitz mapping;asymptotically k strict pseudocontractive mapping in the intermediate sense;fixed point;Mann iterative sequence;error

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Abstract:

Let E be a real Banach space and C be a nonempty closed convex subset of E.T:C→C is a uniformly LLipschitz asymptotically k strict pseudocontractive mapping in the intermediate sense and *SymboleB@n=1*be any given point,*is the modified Mann iterative sequence with errors defined by *is nonempty and bounded,under some appropriate restricted conditions,a necessary and sufficient condition for*converges strongly to a fixed point of*.After removing the condition that FDK(T) is bounded,under the same restricted conditions on the parameters,the modified Mann iterative sequence* converges strongly to a fixed point of if and only if *.(* Indicates a formula, please see the full text)

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