Results 41 to 50 of about 514,187 (157)

Probabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operators

open access: yesUkrains’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

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

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, Bui Trong   +2 more
openaire   +1 more source

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

open access: yesDifferential 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

open access: yesMathematics, 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   +1 more
doaj   +1 more source

A Symmetric PRP‐Type Method With a Restart Strategy and Its Global Convergence Without Lipschitz Condition

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Poor convergence theory for general nonlinear functions is a known drawback of the traditional Polak–Ribiere–Polyak (PRP) method. A version of the scheme, which address this shortcoming, is the subject of this research. Unlike the classical PRP scheme, the modified version does not require the usual Lipschitz condition or a particular line search ...
Kabiru Ahmed   +8 more
wiley   +1 more source

Regularization of Brezis pseudomonotone variational inequalities

open access: yes, 2020
In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Br ́ezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate
Bianchi Monica
core   +1 more source

Strong Convergence Algorithms Involving Two Iterative Sequences for Solving Common Fixed Point Problems With an Application

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
The goal of this study is dedicated to the research on the fixed point iterative algorithm for solving the common fixed point problems in Hilbert spaces. In this study, we first propose the hybrid and shrinking projection algorithms of two different nonexpansive mappings for a class of algorithms with two iterative sequences to solve the common fixed ...
Shengquan Weng   +2 more
wiley   +1 more source

The classes and the main properties of the multivalued Wλ0 -pseudomonotone maps [PDF]

open access: yes, 2007
We Consider The Main Classes Of Wλ0 -Pseudomonotone Multi-valued maps. The main properties of these operators have been investigated.
Kasyanov, P. O.   +2 more
core   +1 more source

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

open access: yesMathematical 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

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

open access: yesAxioms
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   +3 more
doaj   +1 more source

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