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

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)