scholarly journals Mathematical programs with a two-dimensional reverse convex constraint

1991 ◽  
Vol 1 (2) ◽  
pp. 145-154 ◽  
Author(s):  
P. T. Thach ◽  
R. E. Burkard ◽  
W. Oettli
Keyword(s):  
Two Dimensional ◽  
Convex Constraint ◽  
Mathematical Programs ◽  
Reverse Convex

scholarly journals Reverse convex problems: an approach based on optimality conditions

2006 ◽  
Vol 2006 ◽  
pp. 1-16 ◽  
Author(s):  
Ider Tseveendorj
Keyword(s):  
Optimality Conditions ◽  
Linear Program ◽  
Global Optimality ◽  
Global Optimality Conditions ◽  
Convex Constraint ◽  
Convergence Of An Algorithm ◽  
Convex Problems ◽  
Reverse Convex

We present some results concerning reverse convex problems. Global optimality conditions for the problems with a nonsmooth reverse convex constraint are established and convergence of an algorithm in the case of linear program with an additional quadratic reverse convex constraint is studied.

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