Results 41 to 50 of about 126 (118)
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.
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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 +1 more
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Variational inequalities for (η, θ)-pseudomonotone operators in nonreflexive Banach spaces
Applied Mathematics Letters, 1999 The paper concerns a variational problem: Find \(x_0\in K\) such that, for all \(x\in K\), \(\langle Tx_0,\eta(x,x_0)\rangle\geq 0\). Here \(X\) is a nonreflexive Banach space, \(K\subseteq X^{**}\) is a convex set, \(T:K\to X^{*}\) is a hemicontinuous operator, and \(\eta:K\times K\to X^{**}\) is an appropriate substitute for the standard operator ...
Lee, B.-S., Lee, G.-M.
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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 +3 more
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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 +4 more
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Axioms, 2020 A number of applications from mathematical programmings, such as minimax problems, penalization methods and fixed-point problems can be formulated as a variational inequality model.
Nopparat Wairojjana +4 more
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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
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AxiomsThis 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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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
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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 +3 more
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