Results 1 to 10 of about 4,375,993 (379)

A Variation-of-Parameters Inequality [PDF]

open access: bronzeProceedings 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
  +5 more sources

On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. [PDF]

open access: yesJ 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.
europepmc   +2 more sources

Gap functions for quasi-variational inequalities via duality [PDF]

open access: yesJournal 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
doaj   +2 more sources

Proximal extrapolated gradient methods for variational inequalities. [PDF]

open access: yesOptim 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.
europepmc   +3 more sources

On nonlinear variational inequalities [PDF]

open access: bronzeProceedings 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
openalex   +5 more sources

Disequilibrium and variational inequalities

open access: bronzeJournal 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
openalex   +3 more sources

Variational Inequalities Revisited [PDF]

open access: green, 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
openalex   +4 more sources

Merit functions for absolute value variational inequalities

open access: yesAIMS 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
doaj   +1 more source

Inertial projection methods for solving general quasi-variational inequalities

open access: yesAIMS 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
doaj   +1 more source

Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule

open access: yesJournal of Inequalities and Applications, 2021
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
semanticscholar   +1 more source

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