Results 1 to 10 of about 4,375,993 (379)
A Variation-of-Parameters Inequality [PDF]
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]
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]
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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Proximal extrapolated gradient methods for variational inequalities. [PDF]
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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On nonlinear variational inequalities [PDF]
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
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]
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
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
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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In a real Hilbert space, let GSVI and CFPP represent a general system of variational inequalities and a common fixed point problem of a countable family of nonexpansive mappings and an asymptotically nonexpansive mapping, respectively. In this paper, via
Long He+5 more
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