The solution by iteration of nonlinear equations in Hilbert spaces
Author:
Şt. Măruşter
Journal:
Proc. Amer. Math. Soc. 63 (1977), 69-73
MSC:
Primary 47H10
DOI:
https://doi.org/10.1090/S0002-9939-1977-0636944-2
MathSciNet review:
0636944
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Abstract | References | Similar Articles | Additional Information
Abstract: The weak and strong convergence of the iterates generated by to a fixed point of the mapping
are investigated, where C is a closed convex subset of a real Hilbert space. The basic assumptions are that T has at least one fixed point in C, and that
is demiclosed at 0 and satisfies a certain condition of monotony. Some applications are given.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1977-0636944-2
Keywords:
Iteration,
fixed points,
demiclosed mappings,
monotone mappings
Article copyright:
© Copyright 1977
American Mathematical Society