Results 41 to 50 of about 514,187 (157)
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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Generalized vector variational inequalities with star-pseudomonotone and discontinuous operators [PDF]
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Kien, Bui Trong +2 more
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A Lewy-Stampacchia inequality in variable Sobolev spaces for pseudomonotone operators [PDF]
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.
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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
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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
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Regularization of Brezis pseudomonotone variational inequalities
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
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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]
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
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On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
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
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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
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