EXISTENCE THEOREM OF IMPLICIT QUASIVARIATIONAL INEQUALITIES WITHOUT CONTINUITIES

Generalized Strongly Nonlinear Implicit Quasivariational Inequalities

Existence Results for General Mixed Quasivariational Inequalities

On the solution existence of implicit quasivariational inequalities with discontinuous multifunctions

In this paper we established some solution existence theorems for implicit quasivariational inequalities. We first established some results in finite-dimensional spaces and then a solution existence result in infinite-dimensional spaces was derived. Our theorems are proved for discontinuous mappings and sets which may be unbounded. The results presented in this paper are improvements of results...

Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities

and Applied Analysis 3 3. Equilibrium Model We consider a marketplace consisting of two types of agents: n consumers, indexed by a, and m producers, indexed by b. We denote with A = {1, . . . , n}, B = {1, . . . , m}, and J = {1, . . . , l}, respectively, sets of consumers, producers, and goods. We denote by e a and x a the nonnegative quantities of commodity j, respectively, owned and consumed...

Leggett’s theorem without inequalities

We prove a no-go theorem for a class of hidden variables theories that satisfy parameter independence. Specifically, we show that, assuming two conditions, there are no non-trivial hidden variables models of the quantum predictions for product measurements on two systems in any maximally entangled state in a Hilbert space of dimension at least 3× 3. The two conditions are parameter independence...