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Connected extensions of metric spaces and fixed points of Banach contractions

โœ Scribed by A. A. Florinskii

Publisher
Springer US
Year
1999
Tongue
English
Weight
456 KB
Volume
97
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES

Fixed points of weak contractions in con
Fixed points of weak contractions in cone metric spaces
โœ Binayak S. Choudhury; N. Metiya ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 323 KB

Cone metric spaces are generalizations of metric spaces, where the metric is Banach spacevalued. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In the present work, we establish a unique fixed point result for weak contractions

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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