NONLINEAR ERGODIC THEOREMS FOR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT SPACES
Isao Miyadera
Abstract
Isao Miyadera
Abstract
Let $C$ be a nonempty subset (not necessarily closed and convex) of a Hilbert space, and $S=\{T(t); t\geq 0\}$ be a semigroup of non-Lipschitzian mappings on $C$. In this paper we study almost-convergence of almost-orbits of $S$.
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let $C$ be a nonempty subset (not necessarily closed and convex) of a Hilbert space, and $S=\{T(t); t\geq 0\}$ be a semigroup of non-Lipschitzian mappings on $C$. In this paper we study almost-convergence of almost-orbits of $S$.
Key concepts: Mathematics, Ergodic theory, Hilbert space, Semigroup, Pure mathematics, Regular polygon, Banach space, Nonlinear system