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Boundary conditions for condensing mappings

✍ Scribed by Yu Qing-Yu; F.E. Browder


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
656 KB
Volume
8
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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If B is the open unit ball of a strictly convex Banach space (X, & }&) and f : B Γ„ B is holomorphic, condensing with respect to : & } & , and fixed-point-free, then there exists ! # B such that the sequence [ f n ] of the iterates of f converges in the compact-open topology to the constant map takin

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In this paper, we study boundary conditions for nonexpansive nonself-mappings in a Banach space. Using this, we prove two strong convergence theorems for nonexpansive nonself-mappings in a Banach space without boundary conditions.