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Existence of fixed points for mappings of asymptotically nonexpansive type on L-embedded Banach spaces

โœ Scribed by M.A.Japon Pineda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
371 KB
Volume
47
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 hold if we replace the abstract measure topology by the weak topology.

๐Ÿ“œ SIMILAR VOLUMES

Approximating fixed points of asymptotic
Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections
โœ Hossein Dehghan ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

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