نتایج جستجو برای: monotone solution

تعداد نتایج: 475094  

Journal: :SIAM Journal on Optimization 2012
Renato D. C. Monteiro Benar Fux Svaiter

In a recent paper by Monteiro and Svaiter, a hybrid proximal extragradient (HPE) framework was used to study the iteration-complexity of a first-order (or, in the context of optimization, second-order) method for solving monotone nonlinear equations. The purpose of this paper is to extend this analysis to study a prox-type first-order method for monotone smooth variational inequalities and incl...

Journal: :J. Applied Mathematics 2012
Habtu Zegeye Naseer Shahzad

We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for a monotone mapping and fixed point of uniformly Lipschitzian relatively asymptotically nonexpansive mapping in Banach spaces. As a consequence, we provide a scheme that converges strongly to a common zero of finite family of monotone mappings under suitable conditions. ...

Journal: :SIAM J. Math. Analysis 2009
Yoshihisa Morita Koichi Tachibana

We deal with a system of Lotka-Volterra competition-diffusion equations on R, which is a competing two species model with diffusion. It is known that the equations allow traveling waves with monotone profile. In this article we prove the existence of an entire solution which behaves as two monotone waves propagating from both sides of x-axis, where an entire solution is meant by a classical sol...

2009
Mohsen Alimohammady Mehdi Roohi

This paper deals with existence and uniqueness of the solution for a system of variational inclusions with (A, η)-monotone mappings.

1998
Carlos Domingo

We consider exact learning monotone CNF formulas in which each variable appears at most some constant k times (\read-k" monotone CNF). Let f : f0;1g n ! f0;1g be expressible as a read-k monotone CNF formula for some natural number k. We give an incremental output polynomial time algorithm for exact learning both the read-k CNF and (not necessarily read restricted) DNF descriptions of f. The alg...

2005
A. S. VATSALA JIE YANG

We develop monotone iterative technique for a system of semilinear elliptic boundary value problems when the forcing function is the sum of Caratheodory functions which are nondecreasing and nonincreasing, respectively. The splitting of the forcing function leads to four different types of coupled weak upper and lower solutions. In this paper, relative to two of these coupled upper and lower so...

1998
Carlos Domingo Nina Mishra Leonard Pitt

We consider exact learning monotone CNF formulas in which each variable appears at most some constant k times (\read-k" monotone CNF). Let f : f0;1g n ! f0;1g be expressible as a read-k monotone CNF formula for some natural number k. We give an incremental output polynomial time algorithm for exact learning both the read-k CNF and (not necessarily read restricted) DNF descriptions of f. The alg...

2001
YIMING LI

In this paper, we solve numerically a semiconductor device energy balance equation using monotone iterative method. With the proposed solution technique, we prove the solution of ̄nite volume discretized semiconductor device energy balance equation converges monotonically. The method presented here provides an e± cient approach for the numerical solution of energy balance equation in submicron ...

1998
Hong-Ming Yin

In this paper we study the following nonlinear Maxwell's equations "E t + (x; jEj)E = rH+F; H t + rE = 0, where (x; s) is a monotone graph of s. It is shown that the system has a unique weak solution. Moreover, the limit of the solution as " ! 0 converges to the solution of quasi-stationary Maxwell's equations.

2007
Tao Tang Zhen-huan Teng

In this paper we show that the monotone difference methods with smooth numerical fluxes possess superconvergence property when applied to strictly convex conservation laws with piecewise smooth solutions. More precisely, it is shown that not only the approximation solution converges to the entropy solution, its central difference also converges to the derivative of the entropy solution away fro...

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