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A variation-of-parameters inequality [PDF]
Proceedings of the American Mathematical Society, 1970 Recent work in stability theory for linear ordinary differential equations has made much use of the inequalities which can be deduced from the variation-of-parameters formula. In this article it is shown that similar inequalities hold for nonlinear Stieltjes integral equations and hence, as a special case, for nonlinear differential equations in which ...
David Lowell Lovelady
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Gap functions for quasi-variational inequalities via duality [PDF]
Journal of Inequalities and Applications, 2018 This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
L Altangerel
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On nonlinear variational inequalities [PDF]
Proceedings of the American Mathematical Society, 1977 In this note we have given a direct proof of the result which states that if K is a compact convex subset of a linear Hausdorff topological space E over the reals and T is a monotone and hemicontinuous (nonlinear) mapping of K into E ∗ {E^ \ast } , then there is a ...
E Tarafdar
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Disequilibrium and variational inequalities
Journal of Computational and Applied Mathematics, 1990 AbstractIn this paper we introduce a new market disequilibrium model in a spatial economic setting, which generalizes a recent spatial disequilibrium model to the asymmetric case. We derive two alternative variational inequality formulations of the market conditions, in the case of price rigidities and/or controls, and discuss existence and uniqueness ...
Anna Nagurney, Lan Zhao
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Variational Inequalities Revisited [PDF]
, 1986 This chapter solves the variational inequalities (or generalized equations). The chapter defines the lack of boundedness of K that is measured by its barrier cone, b(K). The degree of monotonicity of A is measured by a non-negative proper lower semicontinuous function β from X to ∪{+∞}. The chapter proves that the set-valued map A is β-monotone.
Jean‐Pierre Aubin
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Merit functions for absolute value variational inequalities
AIMS Mathematics, 2021 This article deals with a class of variational inequalities known as absolute value variational inequalities. Some new merit functions for the absolute value variational inequalities are established.
Safeera Batool +2 more
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Inertial projection methods for solving general quasi-variational inequalities
AIMS Mathematics, 2021 In this paper, we consider a new class of quasi-variational inequalities, which is called the general quasi-variational inequality. Using the projection operator technique, we establish the equivalence between the general quasi-variational inequalities ...
Saudia Jabeen +3 more
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Some new classes of general quasi variational inequalities
AIMS Mathematics, 2021 In this paper, we introduce and consider some new classes of general quasi variational inequalities, which provide us with unified, natural, novel and simple framework to consider a wide class of unrelated problems arising in pure and applied sciences ...
Muhammad Aslam Noor +2 more
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Weighted Norm Inequalities for the Opdam--Cherednik Transform [PDF]
International Journal of Mathematics 33(9): 2250066, 21 pp. (2022), 2021 In this paper, we study several weighted norm inequalities for the Opdam--Cherednik transform. We establish different versions of the Heisenberg--Pauli--Weyl inequality for this transform. In particular, we give an extension of this inequality using weights with different exponents and present a variation of the inequality that incorporates $L^p$-norms
arxiv +1 more source
Novel Algorithms for Solving a System of Absolute Value Variational Inequalities
Journal of Function Spaces, 2022 The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide ...
Safeera Batool +4 more
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