Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces

Xue Zhiqun

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-6

Abstract:

Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E . Assume that T 1 + T 2 : K → K is a continuous and strongly pseudocontractive mapping, where T 1 : K → K is Lipschitz and T 2 : K → K has the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to the unique fixed point of T 1 + T 2 .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:046561

DOI: 10.1155/IJMMS/2006/46561

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