scholarly journals Existence Results for a Class of Periodic Evolution Variational Inequalities*

2007 ◽  
Vol 28 (6) ◽  
pp. 629-650 ◽  
Author(s):  
Samir Adly ◽  
Daniel Goeleven ◽  
Michel Théra
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Evolution Variational Inequalities

Existence results of semilinear differential variational inequalities without compactness

Optimization ◽  
2019 ◽  
Vol 68 (5) ◽  
pp. 1017-1035 ◽  
Author(s):  
Liang Lu ◽  
Zhenhai Liu ◽  
Dumitru Motreanu
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Differential Variational Inequalities

scholarly journals On D-KKM theorem and its applications

2003 ◽  
Vol 67 (1) ◽  
pp. 67-77 ◽  
Author(s):  
H. K. Pathak ◽  
M. S. Khan
Keyword(s):  
Variational Inequalities ◽  
Existence Results ◽  
Kkm Theorem ◽  
Maximal Elements ◽  
New Class ◽  
Kkm Mappings ◽  
Set Valued Mappings ◽  
Convex Setting

In this paper, we introduce a new class of set-valued mappings in a non-convex setting called D-KKM mappings and prove a general D-KKM theorem. This extends and improves the KKM theorem for several families of set-valued mappings, such as (X, Y), C(X, Y), C (X, Y), C (X, Y) and C (X, Y). In the sequel, we apply our theorem to get some existence results for maximal elements, generalised variational inequalities, and price equilibria.

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