A note on segmenting Mann iterates
Journal of Mathematical Analysis and ApplicationsPublished 1 November 1972
C. W. Groetsch
Citations138
SJR quartileQ1
SJR score0.85
SNIP1.14
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
W. R. Mann [5] introduced the following general iterative procedure: Suppose A = (a& is an infinite, lower triangular, regular row-stochastic matrix. If E is a closed convex subset of a Banach space and T is a continuous mapping of E into itself and xi E E, then M(x, , A, T) is the process defined by 71
Keywords
Computer ScienceMathematics
Proceedings of the American Mathematical SocietyMean value methods in iteration
2,305 Citations1953W. Robert Mann
Journal of Mathematical Analysis and ApplicationsConstruction of fixed points of nonlinear mappings in Hilbert space
1,025 Citations1967Felix E. Browder, W. V. Petryshyn
Proceedings of the National Academy of SciencesNONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
958 Citations1965Felix E. Browder
Journal of Mathematical Analysis and ApplicationsConstruction of fixed points of demicompact mappings in Hilbert space
163 Citations1966W. V. Petryshyn
Transactions of the American Mathematical SocietyOn the Mann iterative process
143 Citations1970W. G. Dotson