Existence of ergodic retractions for semigroups in Banach spaces

Nonlinear Functional Analysis

Wataru Takahashi · Tokyo Tech Research Repository (Tokyo Institute of Technology) · 2000 · 957 citations

Properties of fixed-point sets of nonexpansive mappings in Banach spaces

Ronald E. Bruck · Transactions of the American Mathematical Society · 1973 · 295 citations

Natural Sciences, Mathematics, Formal Methods +11

Amenable semigroups

Mahlon M. Day · Illinois Journal of Mathematics · 1957 · 242 citations · Full text

A common fixed point theorem for a commuting family of nonexpansive mappings

Ronald E. Bruck · Pacific Journal of Mathematics · 1974 · 167 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +8

A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space

Wataru Takahashi · Proceedings of the American Mathematical Society · 1981 · 127 citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +7