Iterative process for lipschitz local strictly pseudocontractive mappings
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Suppose that K is a non-empty subset of a uniformly smooth Banach space X. Let T:K→X be a Lipschitz local strictly pseudocontractive mapping. In this paper, the iterative sequence which converges strongly to the unique fixed point of T is given. A related result deals with the problem that the Ishikawa iteration process converges strongly to a solution of the equation TX=f wheh T is Lipschitzian and local strongly accretive in X.
Key wordslocal strictly pseudocontractive local strongly accretive uniformly smooth Banach space
- Deng, L. and X. P. Ding, Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces (submitted).Google Scholar