Results 1 to 10 of about 1,986,683 (337)

New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]

PLoS One
In this paper, first we recall and present some basic results about cone and partial order within the framework of Banach spaces. Next, by means of the properties of cone and monotone iterative techniques, some new fixed point theorems of mixed monotone ...
Xu S, Han Y, Lin S, Zhou G.
europepmc   +4 more sources

A Modified Hestenes-Stiefel-Type Derivative-Free Method for Large-Scale Nonlinear Monotone Equations

Mathematics, 2020
The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale nonlinear monotone equations. The method is presented by combining the hyperplane projection method (Solodov, M.V.; Svaiter, B.F.
Zhifeng Dai, Huan Zhu
doaj   +2 more sources

On variational nonlinear equations with monotone operators [PDF]

Advances in Nonlinear Analysis, 2020
Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
doaj   +2 more sources

A Projection Hestenes–Stiefel Method with Spectral Parameter for Nonlinear Monotone Equations and Signal Processing

Mathematical and Computational Applications, 2020
A number of practical problems in science and engineering can be converted into a system of nonlinear equations and therefore, it is imperative to develop efficient methods for solving such equations.
Aliyu Muhammed Awwal, Poom Kumam, Hassan Mohammad   +2 more
exaly   +3 more sources

Monotone solutions of second-order nonlinear differential equations

Applied Mathematics Letters, 2000
Necessary and sufficient conditions are obtained for the existence of a positive nondecreasing solution to equations of the form \[ [r(t)(y'(t))^{\alpha }]'+q(t)(y(t))^{\alpha }=0, \] where \(\alpha \) is a positive number and \(r, q\) are continuous functions. As applications, some comparison theorems are derived.
Wan-Tong Li
exaly   +4 more sources

Algebraic Systems with Positive Coefficients and Positive Solutions

Mathematics, 2022
The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients.
Ana Maria Acu, Ioan Raşa, Ancuţa Emilia Şteopoaie   +2 more
doaj   +1 more source

semilinear wave equation with non-monotone nonlinearity

Electronic Journal of Differential Equations, 2023
We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial.
José F. Caicedo, Alfonso Castro, Rodrigo Duque, Arturo Sanjuán   +3 more
openaire   +2 more sources

Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems

Abstract and Applied Analysis, 2020
Real-life problems are governed by equations which are nonlinear in nature. Nonlinear equations occur in modeling problems, such as minimizing costs in industries and minimizing risks in businesses.
Mathew O. Aibinu, Surendra C. Thakur, Sibusiso Moyo   +2 more
doaj   +1 more source

Monotone method for Riemann-Liouville multi-order fractional differential systems [PDF]

Opuscula Mathematica, 2016
In this paper we develop the monotone method for nonlinear multi-order \(N\)-systems of Riemann-Liouville fractional differential equations. That is, a hybrid system of nonlinear equations of orders \(q_i\) where \(0 \lt q_i \lt 1\).
Zachary Denton
doaj   +1 more source

Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery

Results in Applied Mathematics, 2019
In this article, we propose a three-term conjugate gradient projection algorithm for solving constrained monotone nonlinear equations. The global convergence of the algorithm was established under suitable assumptions.
Auwal Bala Abubakar, Poom Kumam, Aliyu Muhammed Awwal   +2 more
doaj   +1 more source