Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

Banerjee Shrabani; Choudhury Binayak S

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Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

机译：多步迭代到Banach空间中一族非自渐近非扩张映射的一个公共不动点的弱且强收敛定理

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In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results.

机译：在本文中，我们定义了一个多步迭代方案，该方案的错误涉及Banach空间中的一系列渐近非扩展非自映射。缩回已用于构造迭代。我们在这里证明了渐近到渐近非扩张非我映射的族的公共不动点的弱收敛和强收敛。我们使用了Banach空间几何的几个概念。我们的结果改进并扩展了一些最新结果。

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《Cubo : A Mathematical Journal》 |2012年第3期|共24页
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Banerjee Shrabani; Choudhury Binayak S;
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Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

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