Results 41 to 50 of about 150 (124)

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.
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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

A Relaxed Inertial Tseng’s Extragradient Method for Solving Split Variational Inequalities with Multiple Output Sets

Mathematics, 2023
Recently, the split inverse problem has received great research attention due to its several applications in diverse fields. In this paper, we study a new class of split inverse problems called the split variational inequality problem with multiple ...
Timilehin Opeyemi Alakoya, Oluwatosin Temitope Mewomo   +1 more
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

An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.
A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze, Olaniyi S. Iyiola   +3 more
wiley   +1 more source

Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators

Journal of Differential Equations, 2003
In a reflexive Banach space, the authors obtain a general ``ranges of sums'' result involving a maximal monotone operator \(A\) and a densely defined finitely continuous quasibounded generalized pseudomonotone operator \(B\). This result improves [\textit{F. E. Browder}, J. Funct. Anal.
Guan, Z., Kartsatos, A.G., Skrypnik, I.V.   +2 more
openaire   +2 more sources

Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.
The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja, Velusamy Vijayakumar, Kalyana Chakravarthy Veluvolu, Anurag Shukla, Kottakkaran Sooppy Nisar   +4 more
wiley   +1 more source

Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems and Fixed Point Problems with Applications in Optimal Control Problems

Axioms
This paper presents an enhanced inertial Tseng’s extragradient method designed to address variational inequality problems involving pseudomonotone operators, along with fixed point problems governed by quasi-nonexpansive operators in real Hilbert spaces.
Yaling Bai, Guolin Yu, Linqi Sun, Shengquan Weng   +3 more
doaj   +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

A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings

Journal of Applied Mathematics, 2013
By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities ...
Zhi-bin Liu, Jian-hong Gou, Yi-bin Xiao, Xue-song Li   +3 more
doaj   +1 more source