Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

New versions on Nikaidô's coincidence theorem

Liang-Ju Chu;  Ching-Yan Lin — 2002

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In 1959, Nikaidô established a remarkable coincidence theorem in a compact Hausdorff topological space, to generalize and to give a unified treatment to the results of Gale regarding the existence of economic equilibrium and the theorems in game problems. The main purpose of the present paper is to deduce several generalized key results based on this very powerful result, together with some KKM property. Indeed, we shall simplify and reformulate a few coincidence theorems on acyclic multifunctions,...

Variational inequalities in noncompact nonconvex regions

Ching-Yan Lin;  Liang-Ju Chu — 2003

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ),...

Page 1

Download Results (CSV)