On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space

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

A Fixed Point Theorem for Mappings which do not Increase Distances

W. A. Kirk · American Mathematical Monthly · 1965 · 1K citations

Natural Sciences, Computer Science, Mathematics +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

The solution by iteration of nonlinear functional equations in Banach spaces

Felix E. Browder, W. V. Petryshyn · Bulletin of the American Mathematical Society · 1966 · 350 citations · Full text

Natural Sciences, Mathematics, Differential Equations +8

An example concerning fixed points

A. Genel, Joram Lindenstrauss · Israel Journal of Mathematics · 1975 · 322 citations

Natural Sciences, Mathematics, Differential Equations +6