Results 11 to 20 of about 4,361,901 (334)
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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On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. [PDF]
J Optim Theory Appl, 2018 In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is
Vuong PT.
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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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Proximal extrapolated gradient methods for variational inequalities. [PDF]
Optim Methods Softw, 2018 The paper concerns with novel first-order methods for monotone variational inequalities. They use a very simple linesearch procedure that takes into account a local information of the operator. Also, the methods do not require Lipschitz continuity of the
Malitsky Y.
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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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