7 citations · 10 across the 6 of their papers we have counts for
6 papers
An easily verifiable proof of the Brouwer fixed point theorem
Yukio Takeuchi, Tomonari Suzuki
We give a remarkably elementary proof of the Brouwer fixed point theorem. The proof is verifiable for most of the mathematicians.
The set of common fixed points of a one-parameter continuous semigroup of mappings is F(T(1)) cap F(T(sqrt 2))
Tomonari Suzuki
In this paper, we prove the following theorem: Let {T(t) : t >= 0} be a one-parameter continuous semigroup of mappings on a subset C of a Banach space E. The set of fixed points of…
The set of common fixed points of an n-parameter continuous semigroup of mappings
Tomonari Suzuki
In this paper, using Kronecker's theorem, we discuss the set of common fixed points of an n-parameter continuous semigroup of mappings. We also discuss convergence theorems to a co…
Fixed point theorems for asymptotically contractive mappings
Tomonari Suzuki
In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's res…
Common fixed points of commutative semigroups of nonexpansive mappings
T. Suzuki
In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. W…
An example for a one-parameter nonexpansive semigroup
Tomonari Suzuki
We give one example for a one-parameter nonexpansive semigroup.