共查询到20条相似文献,搜索用时 453 毫秒
1.
Gerd Herzog 《Archiv der Mathematik》2001,77(3):215-221
Let f ? C(\Bbb Rn,\Bbb Rn) f\in C(\Bbb R^n,\Bbb R^n) be quasimonotone increasing such that Y(f(y)-f(x)) £ -c Y(y-x) (x << y) \Psi (f(y)-f(x)) \!\le -c \Psi (y-x) (x\ll y) for a linear and strictly positive functional Y \Psi and c > 0. We prove that f is a homeomorphism with decreasing and Lipschitz continuous inverse and we prove the global asymptotic stability of the equilibrium solution of x¢=f(x) x'=f(x) . 相似文献
2.
Let X, Y be real Hilbert spaces. Consider a bounded linear operator A : X → Y and a nonempty closed convex set C ì Y\mathcal{C}\subset Y. In this paper we propose an inexact proximal-type algorithm to solve constrained optimization problems
(P) inf{f(x) : Ax ? C},(\mathcal{P})\qquad\qquad\qquad \inf \{f(x)\ :\ Ax\in \mathcal{C}\}, 相似文献
3.
Daniela Roşu 《NoDEA : Nonlinear Differential Equations and Applications》2010,17(4):479-496
In this paper we consider a nonlinear evolution reaction–diffusion system governed by multi-valued perturbations of m-dissipative operators, generators of nonlinear semigroups of contractions. Let X and Y be real Banach spaces, ${\mathcal{K}}
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