Results 121 to 130 of about 12,102 (156)

Semigroups of locally Lipschitzian operators(Evolution Equations and Applications to Nonlinear Problems)

Semigroups of locally Lipschitzian operators(Evolution Equations and Applications to Nonlinear Problems)
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Generation and Approximation of Semigroups of Lipschitz Operators (Nonlinear evolution equations and applications)

Generation and Approximation of Semigroups of Lipschitz Operators (Nonlinear evolution equations and applications)
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Invariance of closed convex sets under semigroups of nonlinear operators in complex Hilbert spaces

Invariance of closed convex sets under semigroups of nonlinear operators in complex Hilbert spaces
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New Results Concerning Monotone Operators and Nonlinear Semigroups (非線形問題の解析 : Analysis of Nonlinear Problems, RIMS, 1974)

New Results Concerning Monotone Operators and Nonlinear Semigroups (非線形問題の解析 : Analysis of Nonlinear Problems, RIMS, 1974)
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Degenerate Nonlinear Semigroups of Operators and Their Applications

2020
In this paper, we construct the conditions for the existence of a degenerate nonlinear resolving semigroup of shift operators for a semilinear Sobolev type equation. Based on the phase space method, we find the conditions for the existence of solutions to the Cauchy problem for a semilinear Sobolev type equation.
Ksenia V. Vasiuchkova, Natalia A. Manakova, Georgy A. Sviridyuk   +2 more
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On generation of C 0 semigroups and nonlinear operator semigroups

Semigroup Forum, 2002
This article presents new proofs (based on the theory of difference equations) of two classical theorems in the theory of semigroups of linear and nonlinear operators in a Banach space \(X\): the Hille-Phillips-Yosida theorem about generators of \(C_0\)-semigroups of bounded operators and the Crandall-Ligget theorem about generators of semigroups of ...
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On generation of nonlinear operator semigroups and nonlinear evolution operators

Semigroup Forum, 2003
The basic semigroup generation result in \textit{M. G. Crandall} and \textit{A. Pazy} [Isr. J. Math. 11, 57--94 (1972; Zbl 0249.34049)] is re-obtained via sequential arguments based on difference equations theory.
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AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES

Bulletin of the Australian Mathematical Society, 2018
In 1965, Browder proved the existence of a common fixed point for commuting families of nonexpansive mappings acting on nonempty bounded closed convex subsets of uniformly convex Banach spaces. The purpose of this paper is to extend this result to left amenable semigroups of nonexpansive mappings.
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On conditions of weak convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 1996
This paper relates to results of the authors about necessary and sufficient conditions are established for the strong convergence of the semigroup generated by an \(m\)-accretive operator \(A\) and of the steepest descent approximation process \[ x_{n+1}= x_n-t_nAx_n,\quad t_n\in\mathbb{R}^+,\quad \{t_n\}\not\in\ell^1 \] to a zero of a quasi-accretive ...
Jiang, Yao-Lin, Xu, Zong-Ben, Roach, G. F.   +2 more
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Invariance of closed convex sets under semigroups of nonlinear operators in complex Hilbert spaces

SUT Journal of Mathematics, 2001
Let \(K\) be a closed convex subset of a complex Hilbert space \(H\) and \(A\) a nonlinear quasi-\(m\)-accretive operator with domain \(D(A)\) dense in \(H\) (that is, \(A+\alpha\) is \(m\)-accretive in \(H\) for some \(\alpha\geq 0)\). Then \(-A\) generates a nonlinear \(C_0\)-semigroup \(\{S(t)\}_{t\geq 0}\) of type \(\alpha\) on \(H\).
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