scholarly journals A proximal method for solving nonlinear minmax location problems with perturbed minimal time functions via conjugate duality

2019 ◽  
Vol 74 (1) ◽  
pp. 121-160
Author(s):  
Sorin-Mihai Grad ◽  
Oleg Wilfer
Keyword(s):  
Location Problems ◽  
Conjugate Duality ◽  
Proximal Method ◽  
Minimal Time ◽  
Minimal Time Functions

The minimal time function associated with a collection of sets

2020 ◽  
Vol 26 ◽  
pp. 93 ◽  
Author(s):  
Luong V. Nguyen ◽  
Xiaolong Qin
Keyword(s):  
Lower Semicontinuity ◽  
Lipschitz Continuity ◽  
Time Function ◽  
Location Problems ◽  
Optimal Time ◽  
Minimal Time Function ◽  
Principle Of Optimality ◽  
Minimal Time ◽  
Time Problem ◽  
Target Set

We define the minimal time function associated with a collection of sets which is motivated by the optimal time problem for nonconvex constant dynamics. We first provide various basic properties of this new function: lower semicontinuity, principle of optimality, convexity, Lipschitz continuity, among others. We also compute and estimate proximal, Fréchet and limiting subdifferentials of the new function at points inside the target set as well as at points outside the target. An application to location problems is also given.

scholarly journals Limiting subgradients of minimal time functions in Banach spaces

2009 ◽  
Vol 46 (4) ◽  
pp. 615-633 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
Nguyen Mau Nam
Keyword(s):  
Banach Spaces ◽  
Minimal Time ◽  
Minimal Time Functions

scholarly journals Convex analysis of minimal time and signed minimal time functions

Optimization ◽  
2021 ◽  
pp. 1-28
Author(s):  
D. V. Cuong ◽  
B. S. Mordukhovich ◽  
N. M. Nam ◽  
M. Wells
Keyword(s):  
Convex Analysis ◽  
Minimal Time ◽  
Minimal Time Functions
Sign in / Sign up

Export Citation Format

Share Document