lyapunov convexity theorem
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scholarly journals Optimization problems for set functions

2001 ◽  
Vol 26 (6) ◽  
pp. 371-383
Author(s):  
Slawomir Dorosiewicz
Keyword(s):  
Optimality Conditions ◽  
Optimization Problems ◽  
Formal Definition ◽  
Convexity Theorem ◽  
First Order ◽  
Set Functions ◽  
Measurable Functions ◽  
Lyapunov Convexity Theorem ◽  
Definition Of ◽  
First Order Optimality Conditions

This paper gives the formal definition of a class of optimization problems, that is, problems of finding conditional extrema of given set-measurable functions. It also formulates the generalization of Lyapunov convexity theorem which is used in the proof of first-order optimality conditions for the mentioned class of optimization problems.

scholarly journals On the Lyapunov convexity theorem with appications to sign-embeddings

1992 ◽  
Vol 44 (9) ◽  
pp. 1091-1098 ◽  
Author(s):  
V. M. Kadets ◽  
M. M. Popov
Keyword(s):  
Convexity Theorem ◽  
Lyapunov Convexity Theorem

A New Proof of the Lyapunov Convexity Theorem

1990 ◽  
Vol 28 (2) ◽  
pp. 478-481 ◽  
Author(s):  
Fabio Tardella
Keyword(s):  
Convexity Theorem ◽  
Lyapunov Convexity Theorem

scholarly journals Yet another proof of the Lyapunov convexity theorem

1990 ◽  
Vol 108 (1) ◽  
pp. 89-89 ◽  
Author(s):  
Zvi Artstein
Keyword(s):  
Convexity Theorem ◽  
Lyapunov Convexity Theorem
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