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Approximating fixed points of nonexpansive mappings
Proceedings of the American Mathematical Society · 1974 · Vol. 44(2) · pp. 375–380
Abstract
A condition is given for nonexpansive mappings which assures convergence of certain iterates to a fixed point of the mapping in a uniformly convex Banach space. A relationship between the given condition and the requirement of demicompactness is established.
Optimization and Variational AnalysisFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFixed pointIterated functionBanach spaceMathematicsRegular polygonConvergence (economics)Pure mathematicsMathematical analysisGeometry
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Fixed points and iteration of a nonexpansive mapping in a Banach space
Proceedings of the American Mathematical Society · 1976 · 377 citations
References
A Fixed Point Theorem for Mappings which do not Increase Distances
American Mathematical Monthly · 1965 · 1,038 citations
Mean value methods in iteration
Proceedings of the American Mathematical Society · 1953 · 2,279 citations
Mean Value Methods in Iteration
Proceedings of the American Mathematical Society · 1953 · 367 citations
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