Open Access
2000 NONLINEAR ERGODIC THEOREMS FOR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT SPACES
Isao Miyadera
Taiwanese J. Math. 4(2): 261-274 (2000). DOI: 10.11650/twjm/1500407231

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 $S$.

Citation

Download Citation

Isao Miyadera. "NONLINEAR ERGODIC THEOREMS FOR SEMIGROUPS OF NON-LIPSCHITZIAN MAPPINGS IN HILBERT SPACES." Taiwanese J. Math. 4 (2) 261 - 274, 2000. https://doi.org/10.11650/twjm/1500407231

Information

Published: 2000
First available in Project Euclid: 18 July 2017

zbMATH: 0980.47054
MathSciNet: MR1757405
Digital Object Identifier: 10.11650/twjm/1500407231

Subjects:
Primary: 47H09 , 47H10

Keywords: almost-orbit , asymptotic center , asymptotically nonexpansive mapping in the weak sense , fixed point , nonlinear ergodic theorem , semigroup of non-Lipschitzian mappings , strong almost-convergence , weak almost-convergence

Rights: Copyright © 2000 The Mathematical Society of the Republic of China

Vol.4 • No. 2 • 2000
Back to Top