2000•Taiwanese Journal of MathematicsRequires access

NONLINEAR ERGODIC THEOREMS FOR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT SPACES

Isao Miyadera

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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 $S$.

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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 $S$.

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Available 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 $S$.

Key concepts: Mathematics, Ergodic theory, Hilbert space, Semigroup, Pure mathematics, Regular polygon, Banach space, Nonlinear system

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