Results 41 to 50 of about 155 (137)

Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces

Axioms, 2023
In this paper, we introduce a new iterative method that combines the inertial subgradient extragradient method and the modified Mann method for solving the pseudomonotone variational inequality problem and the fixed point of quasi-Bregman nonexpansive ...
Rose Maluleka, Godwin Chidi Ugwunnadi, Maggie Aphane   +2 more
doaj   +1 more source

Gradient and Parameter Dependent Dirichlet (p(x),q(x))-Laplace Type Problem

Mathematics, 2022
We analyze a Dirichlet (p(x),μq(x))-Laplace problem. For a gradient dependent nonlinearity of Carathéodory type, we discuss the existence, uniqueness and asymptotic behavior of weak solutions, as the parameter μ varies on the non-negative real axis.
Kholoud Saad Albalawi, Nadiyah Hussain Alharthi, Francesca Vetro   +2 more
doaj   +1 more source

Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, Bui Trong, Wong, Ngai Ching, Yao, Jen-Chih   +2 more
openaire   +1 more source

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators

Ukrains’kyi Matematychnyi Zhurnal, 2022
UDC 519.21 We study an important class of stochastic nonlinear evolution problems with pseudomonotone elliptic parts and establish the existence of probabilistic weak (or martingale) solutions. No solvability theory has been developed so far for these equations despite numerous works involving various generalizations of the monotonicity condition.
Ali, Z. I., Sango, M.
openaire   +2 more sources

On the existence of time-periodic solutions of nonlinear parabolic differential equations with nonlocal boundary conditions of the Bitsadze-Samarskii type

Современная математика: Фундаментальные направления, 2023
We study a nonlinear parabolic differential equation in a bounded multidimensional domain with nonlocal boundary conditions of the Bitsadze-Samarskii type. We prove existence theorems for a periodic in time generalized solution.
O. V. Solonukha
doaj   +1 more source

A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators [PDF]

Differential Equations & Applications, 2014
The authors prove the Lewy-Stampacchia inequality for a nonlinear pseudomonotone elliptic operator in the variable exponent Sobolev spaces. The proof is based on a penalization method.
Mokrane, A., Vallet, G.
openaire   +1 more source

The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems

Journal of Function Spaces and Applications, 2004
In the first part of this paper we present a representation theorem for the directional derivative of the metric projection operator in an arbitrary Hilbert space.
George Isac, Monica G. Cojocaru
doaj   +1 more source

Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

Современная математика: Фундаментальные направления, 2023
In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
doaj   +1 more source

An Inertial Subgradient Extragradient Method for Approximating Solutions to Equilibrium Problems in Hadamard Manifolds

Axioms, 2023
In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
doaj   +1 more source

On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10427-10441, 15 July 2025.
ABSTRACT We construct solutions for time‐dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can refer the boundary problem to a fixed domain at the cost of increasing the complexity of the coefficients ...
Ana Carpio, Gema Duro
wiley   +1 more source