Results 31 to 40 of about 53,983 (280)

Inertial-Based Derivative-Free Method for System of Monotone Nonlinear Equations and Application

open access: yesIEEE Access, 2020
Iterative methods for solving nonlinear problems are of great importance due to their appearance in various areas of applications. In this paper, based on the inertial effect, we propose two projection derivative-free iterative methods for solving system
Aliyu Muhammed Awwal   +4 more
doaj   +1 more source

A Maximal Inequality for $p$th Power of Stochastic Convolution Integrals [PDF]

open access: yes, 2015
An inequality for the $p$th power of the norm of a stochastic convolution integral in a Hilbert space is proved. The inequality is stronger than analogues inequalities in the Literature in the sense that it is pathwise and not in expectation.
Salavati, Erfan, Zangeneh, Bijan Z.
core   +3 more sources

Parabolic Itô equations with monotone nonlinearities

open access: yesJournal of Functional Analysis, 1978
AbstractIn this paper the equation ut = Lu − F(u) + α(t, ω) is studied, where u(t) ϵ B0 a Banach space. L is an unbounded self-adjoint negative definite operator. F is a monotone nonlinear potential operator. α(t, ω) is a white noise process on B0. With suitable further restrictions on L and F it is proved that the equation has a unique solution. As t →
openaire   +1 more source

ASYMPTOTICALLY MONOTONE SOLUTIONS OF A NONLINEAR DIFFERENCE EQUATION

open access: yesTamkang Journal of Mathematics, 1993
Necessary conditions as well as sufficient conditions for the eventually positive solutions of a class of nonlinear difference equation to be monotone are derived.
Li, Horng Jaan, Cheng, Sui Sun
openaire   +3 more sources

A Modified Three-Term Conjugate Descent Derivative-Free Method for Constrained Nonlinear Monotone Equations and Signal Reconstruction Problems

open access: yesMathematics
Iterative methods for solving constraint nonlinear monotone equations have been developed and improved by many researchers. The aim of this research is to present a modified three-term conjugate descent (TTCD) derivative-free method for constrained ...
Aliyu Yusuf   +2 more
doaj   +1 more source

A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints

open access: yesJournal of Applied Mathematics, 2013
Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints.
Sheng Wang, Hongbo Guan
doaj   +1 more source

Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations

open access: yes, 2012
Aim of this paper is to extend the continuous dependence estimates proved in \cite{JK1} to quasi-monotone systems of fully nonlinear second-order parabolic equations.
Camilli, Fabio, Marchi, Claudio
core   +3 more sources

The approximate solution of a monotone nonlinear operator equations

open access: yesRocky Mountain Journal of Mathematics, 1986
This paper is concerned with nonlinear equations involving monotone operators and compact perturbations of monotone operators. Projection methods determine approximate solutions. Such equations are put into the more general framework of regular operator approximation theory, which yields the convergence of approximate solutions under minimal hypothesis.
Anselone, P.M., Jin-gan, Lei
openaire   +3 more sources

Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping  in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
doaj   +1 more source

Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators

open access: yes, 2010
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical result by J.L. Lions for monotone operators. In particular,
Beyn   +36 more
core   +1 more source

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