On the connectedness of the efficient set for strictly quasiconvex vector minimization problems

1996 ◽  
Vol 89 (2) ◽  
pp. 475-481 ◽  
Author(s):  
E. J. Sun
Keyword(s):  
Efficient Set ◽  
Minimization Problems ◽  
Vector Minimization Problems

scholarly journals A density result in vector optimization

2006 ◽  
Vol 2006 ◽  
pp. 1-10
Author(s):  
Alexander J. Zaslavski
Keyword(s):  
Vector Optimization ◽  
Metric Space ◽  
Complete Metric Space ◽  
Density Result ◽  
Minimization Problems ◽  
Whole Class ◽  
Vector Minimization Problems

We study a class of vector minimization problems on a complete metric space such that all its bounded closed subsets are compact. We show that a subclass of minimization problems with a nonclosed set of minimal values is dense in the whole class of minimization problems.

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