✦ LIBER ✦

Integrable solutions of Hammerstein and Urysohn integral equations

✍ Scribed by Banaś, Józef

Book ID: 118049489
Publisher: Cambridge University Press
Year: 1989
Weight: 823 KB
Volume: 46
Category: Article
ISSN: 0263-6115
DOI: 10.1017/s1446788700030378

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Let E be a 2-uniformly real Banach space and F , K : E → E be nonlinear-bounded accretive operators. Assume that the Hammerstein equation u + KFu = 0 has a solution. A new explicit iteration sequence is introduced and strong convergence of the sequence to a solution of the Hammerstein equation is pr