Lipschitz局部严格伪压缩映象的迭代逼近<sup>*</sup>

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Lipschitz局部严格伪压缩映象的迭代逼近^*

基金项目: * 国家自然科学基金

摘要: 设K是一致光滑Banach空间K的非空子集,T:K→X是Lipschitz局部严格伪压缩映象。本文给出一个迭代序列强收敛到T的唯一不动点,并给出一个涉及Lipschitz局部强增殖映象T的非线性方程Tx=f的解的迭代逼近。
- 局部严格伪压缩 /
- 局部强增殖 /
- 一致光滑Banach空间
Abstract: Suppose that K is a non-empty subset of uniformly smooth Banach space X.Let T:K→X be a Lipschitz local strcily pseudocontractine mapping.In this paper,the iterative sequence which converges strongly to the unique fixed point of Tis given.A related result deals with the problem that the Ishikawa iteration process canverges strongly to a solution of the equation TX-f when T is Lipschitzian and local strongly accretive in X.
- local strictly pseudocontractive /
- local strongly accretive /
- uniformly smooth Banach space

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