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Journal Article

# The Mean-Value Iteration for Set-Valued Mappings

Peter K. F. Kuhfittig
Proceedings of the American Mathematical Society
Vol. 80, No. 3 (Nov., 1980), pp. 401-405
DOI: 10.2307/2043728
Stable URL: http://www.jstor.org/stable/2043728
Page Count: 5

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Topics: Mathematical sequences, Banach space, Mathematical theorems, Topological theorems

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In this note Krasnoselskii's iteration procedure $$x_{n + 1} = \frac{1}{2}(I + T)x_n$$ is extended to certain classes of set-valued mappings.