scholarly journals Gradient flows and Evolution Variational Inequalities in metric spaces. I: Structural properties

2020 ◽  
Vol 278 (4) ◽  
pp. 108347
Author(s):  
Matteo Muratori ◽  
Giuseppe Savaré
Keyword(s):  
Variational Inequalities ◽  
Structural Properties ◽  
Metric Spaces ◽  
Gradient Flows ◽  
Evolution Variational Inequalities

scholarly journals Minimax theorems in probabilistic metric spaces

1995 ◽  
Vol 51 (1) ◽  
pp. 103-119 ◽  
Author(s):  
Y.J. Cho ◽  
S.S. Chang ◽  
J.S. Jung ◽  
S.M. Kang ◽  
X. Wu
Keyword(s):  
Variational Inequalities ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Minimax Theorems ◽  
Saddle Point Problems ◽  
Coincidence Points ◽  
Probabilistic Metric Spaces ◽  
Upper Semicontinuous Functions ◽  
Probabilistic Metric ◽  
Semicontinuous Functions

In this paper, new minimax theorems for mixed lower-upper semicontinuous functions in probabilistic metric spaces are given. As applications, we utilise these results to show the existence of solutions of abstract variational inequalities, implicit variational inequalities and saddle point problems, and the existence of coincidence points in probabilistic metric spaces.

scholarly journals Conical differentiability for evolution variational inequalities

2003 ◽  
Vol 193 (1) ◽  
pp. 131-146 ◽  
Author(s):  
Jiřı́ Jarušek ◽  
Miroslav Krbec ◽  
Murali Rao ◽  
Jan Sokołowski
Keyword(s):  
Variational Inequalities ◽  
Evolution Variational Inequalities
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