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Interative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces

โœ Scribed by Zeng Lu-chuan

Publisher
Springer
Year
2003
Tongue
English
Weight
476 KB
Volume
24
Category
Article
ISSN
0253-4827

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โœ M.A.Japon Pineda ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

In this work we will extend a result given in \([\mathrm{X}]\) on existence of fixed points for mappings of asymptotically nonexpansive type. We will apply this extension to \(L\) embedded Banach spaces endowed with the abstract measure topology. We will also show that the result obtained does not h

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In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahas