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Common fixed points of nonexpansive mappings by iteration

Pacific Journal of Mathematics · 1981 · 86 citations · 3 references

Open access

Concepts

ComputingComputer ScienceDynamical SystemsConvergence AnalysisFixed Point TheoryFixed PointsIterative SolversNumerical ConvergenceCommon Fixed Point TheoremsFixed-point ConvergenceFixed-point IterationNonexpansive Mappings

Abstract

The purpose of this paper is to present an iteration scheme which converges strongly in one setting and weakly in another to a common fixed point of a finite family of nonexpansive mappings.

References

3

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Z. Opial · Bulletin of the American Mathematical Society · 1967 · 2.3K citations · Full text

Natural Sciences, Mathematics, Topology +10

NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE

Felix E. Browder · Proceedings of the National Academy of Sciences · 1965 · 958 citations · Full text

Engineering, Mechanical Engineering, Finite Element Analysis +3

Common fixed points for commuting contraction mappings

Ralph DeMarr · Pacific Journal of Mathematics · 1963 · 245 citations · Full text

Natural Sciences, Mathematics, Contract Theory +10