The Generalized Mann Iterative Process with Errors for Strongly Pseudocontractive Mappings in Arbitrary Banach Spaces
Let E be a real Banach space and D be a nonempty closed convex subset of E. Suppose that T: D → D is a uniformly continuous and strongly pseudocontractive mapping with bounded range. It is proved that the generalized Mann iterative process with errors converges strongly to the unique fixed point of T. It is also to establish the convergence theorems of the new iterative methods for strongly pseudocontractive and strongly accretive operators in Banach spaces. The related results deal with the approximation of the solutions of nonlinear equation for strongly accretive operators.
KeywordsGeneralized Mann iterative process with errors Strongly pseudo-contractive mapping Strongly accretive operator Banach space
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