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Zbl 0818.47061
Xu, Zongben; Roach, G.F.
A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations. (English)
[J] J. Math. Anal. Appl. 167, No.2, 340-354 (1992). ISSN 0022-247X

The authors give a necessary and sufficient condition which ensures the strong convergence of the steepest descent approximation to a solution of equations involving quasi-accretive operators defined on a uniformly smooth Banach space.

MSC 2000:: *47J05 Equations involving nonlinear operators (general)
47H06 Accretive operators, etc. (nonlinear)

Keywords: strong convergence; steepest descent approximation; equations involving quasi-accretive operators defined on a uniformly smooth Banach space

Cited in: Zbl 0941.47039 Zbl 0826.47051

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