On the complexity of the exchange algorithm for minimax optimization problems

1987 ◽  
Vol 38 (2) ◽  
pp. 219-222 ◽  
Author(s):  
Zvi Drezner
Keyword(s):  
Optimization Problems ◽  
Minimax Optimization ◽  
Exchange Algorithm

Exact Solutions for Minimax Optimization Problems

2005 ◽  
Vol 112 (5) ◽  
pp. 454
Author(s):  
Francesc Comellas ◽  
J. Luis A. Yebra
Keyword(s):  
Exact Solutions ◽  
Optimization Problems ◽  
Minimax Optimization

scholarly journals On minimax optimization problems

1982 ◽  
Vol 22 (1) ◽  
pp. 227-230 ◽  
Author(s):  
Zvi Drezner
Keyword(s):  
Optimization Problems ◽  
Minimax Optimization

scholarly journals Calmness and Calculus: Two Basic Patterns

2021 ◽  
Author(s):  
Matúš Benko ◽  
Patrick Mehlitz
Keyword(s):  
Optimization Problems ◽  
Sufficient Conditions ◽  
Necessary Optimality Conditions ◽  
Generalized Derivatives ◽  
Minimax Optimization ◽  
Cartesian Products ◽  
Calculus Rules ◽  
Set Valued Mappings ◽  
The One ◽  
Derivatives Of

AbstractWe establish two types of estimates for generalized derivatives of set-valued mappings which carry the essence of two basic patterns observed throughout the pile of calculus rules. These estimates also illustrate the role of the essential assumptions that accompany these two patters, namely calmness on the one hand and (fuzzy) inner calmness* on the other. Afterwards, we study the relationship between and sufficient conditions for the various notions of (inner) calmness. The aforementioned estimates are applied in order to recover several prominent calculus rules for tangents and normals as well as generalized derivatives of marginal functions and compositions as well as Cartesian products of set-valued mappings under mild conditions. We believe that our enhanced approach puts the overall generalized calculus into some other light. Some applications of our findings are presented which exemplary address necessary optimality conditions for minimax optimization problems as well as the calculus related to the recently introduced semismoothness* property.

A generalized neural network for solving a class of minimax optimization problems with linear constraints

2012 ◽  
Vol 218 (14) ◽  
pp. 7528-7537 ◽  
Author(s):  
Yongqing Yang ◽  
Jinde Cao ◽  
Xianyun Xu ◽  
Jiao Liu
Keyword(s):  
Neural Network ◽  
Optimization Problems ◽  
Linear Constraints ◽  
Minimax Optimization

Exact Solutions for Minimax Optimization Problems

2005 ◽  
Vol 112 (5) ◽  
pp. 454-458
Author(s):  
Francesc Comellas ◽  
J. Luis A. Yebra
Keyword(s):  
Exact Solutions ◽  
Optimization Problems ◽  
Minimax Optimization
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