A study of variational inequalities for set-valued mappings.
On a condition weaker than insatiability condition
A condition weaker than the insatiability condition is given.
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
Five equivalent theorems on a convex subset of a topological vector space
On the existence of solution of the equation and a generalized coincidence degree theory. II.
On a nonlinear elliptic boundary value problem
On the existence of solution of the equation and a generalized coincidence degree theory. I.
On the existence of the price equilibrium by different methods
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
A generalized version of the Gale-Nikaido-Debréu theorem
Nonlinear variational inequalities and the existence of equilibrium in economies with a Riesz space of commodities
Random coincidence degree theory with applications to random differential inclusions
The aim of this paper is to establish a random coincidence degree theory. This degree theory possesses all the usual properties of the deterministic degree theory such as existence of solutions, excision and Borsuk’s odd mapping theorem. Our degree theory provides a method for proving the existence of random solutions of the equation where is a linear Fredholm mapping of index zero and is a noncompact Carathéodory mapping. Applications to random differential inclusions are also considered.
Correction to the paper: Random coincidence degree theory with applications to random differential inclusions
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