نتایج جستجو برای: well posed fixed point problem

تعداد نتایج: 2739327  

Journal: :sahand communications in mathematical analysis 0
ebrahim soori department of mathematics, lorestan university, p.o. box 465, khoramabad, lorestan, iran.

this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

Journal: :Differential Geometry and its Applications 1993

Journal: :Bulletin of the American Mathematical Society 1974

2004
Wataru Takahashi W. Takahashi

In this article, we deal with iterative methods for approximation of fixed points and their applications. We first discuss fixed point theorems for a nonexpansive mapping or a family of nonexpansive mappings. In particular, we state a fixed point theorem which answered affirmatively a problem posed during the Conference on Fixed Point Theory and Applications held at CIRM, Marseille-Luminy, 1989...

2008
Xian Jun Long Nan-Jing Huang Kok Lay Teo

We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of generalized Levitin-Polyak well-posedness. Some metric characterizations and sufficient conditions for these types of wellposedness are obtained. Some relations among these types of well-posedness are also established under some suitab...

2001
J. COLLIANDER M. KEEL G. STAFFILANI H. TAKAOKA T. TAO

The initial value problems for the Korteweg-de Vries (KdV) and modified KdV (mKdV) equations under periodic and decaying boundary conditions are considered. These initial value problems are shown to be globally well-posed in all L 2-based Sobolev spaces H s where local well-posedness is presently known, apart from the H 1 4 (R) endpoint for mKdV. The result for KdV relies on a new method for co...

Journal: :J. Computational Applied Mathematics 2016
Thomas Mach Lothar Reichel Marc Van Barel Raf Vandebril

Journal: :SIAM J. Math. Analysis 2006
Thomas Y. Hou Congming Li

We study the global well-posedness of the Lagrangian averaged Euler equations in three dimensions. We show that a necessary and sufficient condition for the global existence is that the BMO norm of the stream function is integrable in time. We also derive a sufficient condition in terms of the total variation of certain level set functions, which guarantees the global existence. Furthermore, we...

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