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Eigenvectors and surjectivity for α-lipschitz mappings in banach spaces

✍ Scribed by Mario Martelli; Alfonso Vignoli


Book ID
112746165
Publisher
Springer
Year
1972
Tongue
English
Weight
558 KB
Volume
94
Category
Article
ISSN
0373-3114

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Mann and Ishikawa iterative processes fo
✍ Bancha Panyanak 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K → P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V