In mathematics, a variational inequality is an inequality involving a functional, which has to be solved for all possible values of a given variable,...

differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity...

Method for the Variational Inequality Problem). In her thesis, she "introduced and analyzed solution methods for variational inequalities, the latter being...

many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with...

the MSOM Society in recognition of her lifetime achievement in "variational inequalities, the price of anarchy, dynamic pricing and data analytics," and...

Y = (2, 0) are not. A complementarity problem is a special case of a variational inequality. Complementarity problems were originally studied because the Karush–Kuhn–Tucker...

The proof that continuous finite variation processes have zero quadratic variation follows from the following inequality. Here, P {\displaystyle P} is a...

the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to...

problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium...

information theory, Pinsker's inequality, named after its inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance (or statistical...

conditions can also be written is a more compact form (the integro-variational inequality): max { A ϕ + L , M − ϕ } = 0 {\displaystyle \max \left\{{\mathcal...

^ . {\displaystyle y={\hat {y}}.} First variation Isoperimetric inequality Variational principle Variational bicomplex Fermat's principle Principle of...

_{x_{n}}^{\alpha _{n}}}}.} Poincaré inequality Rektorys, Karel (2001) [1977]. "The Friedrichs Inequality. The Poincaré inequality". Variational Methods in Mathematics...

to the perturbation; sending the perturbation to zero leads to a variational inequality from which the maximum principle follows. Widely regarded as a milestone...

It is frequently used in the analysis of non-cooperative games, variational inequalities, and general equilibrium models. Let E {\displaystyle E} be a convex...

important problem classes can be solved. Specific examples are variational inequalities, Nash equilibria, disjunctive programs and stochastic programs...

In variational Bayesian methods, the evidence lower bound (often abbreviated ELBO, also sometimes called the variational lower bound or negative variational...

aided in the rise of projected dynamical systems has been that of variational inequalities. The formalization of projected dynamical systems began in the...

operators, quasiconvex optimization, and variational analysis, with applications in variational inequality problems and game theory. In 2003, García...

the Signorini problem coincides with the birth of the field of variational inequalities. The content of this section and the following subsections follows...

x_{i}=u_{i},\;F_{i}(x)\leq 0} . Another definition for MCP is: it is a variational inequality on the parallelepiped [ ℓ , u ] {\displaystyle [\ell ,u]} . Complementarity...

Kinderlehrer, David; Stampacchia, Guido (1980), An Introduction to Variational Inequalities and Their Applications, Academic Press, ISBN 0-89871-466-4 Caffarelli...

Economic inequality is an umbrella term for three concepts: income inequality, how the total sum of money paid to people is distributed among them; wealth...

sometimes called the statistical distance, statistical difference or variational distance. Consider a measurable space ( Ω , F ) {\displaystyle (\Omega...

In mathematics, the isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the...

Gender inequality is the social phenomenon in which people are not treated equally on the basis of gender. This inequality can be caused by gender discrimination...

In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral...

Ehrling's lemma Inverse problem Titchmarsh convolution theorem Variational inequality List of second-generation Mathematicians CORE Fields Medal Talk:...

Social inequality occurs when resources within a society are distributed unevenly, often as a result of inequitable allocation practices that create distinct...

Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income and economic inequality among...