scholarly journals Vector optimization using improvement sets in locally convex spaces

2018 ◽  
Vol 12 (3) ◽  
pp. 171-176
Author(s):  
Malek Abbasi ◽  
Mahboubeh Rezaei
Keyword(s):  
Vector Optimization ◽  
Locally Convex Spaces ◽  
Improvement Sets ◽  
Locally Convex ◽  
Convex Spaces

scholarly journals Efficiency and Choquet boundaries in separated locally convex spaces

2004 ◽  
Vol 2004 (64) ◽  
pp. 3469-3483
Author(s):  
Vasile Postolică
Keyword(s):  
Potential Theory ◽  
Vector Optimization ◽  
Research Paper ◽  
Locally Convex Spaces ◽  
Point Sets ◽  
Efficient Point ◽  
Locally Convex ◽  
Convex Spaces

This research paper is devoted to the study of the properties for Pareto-type efficient point sets in separated locally convex spaces, based upon an earlier result on the coincidence of Pareto-type efficient point sets and the Choquet boundaries and the natural corresponding extension for the approximate efficient point sets in Hausdorff locally convex spaces. Both of these results represent an important connection between two great fields of mathematics: vector optimization and potential theory.

scholarly journals A characterization of Pontryagin–van Kampen duality for locally convex spaces

2002 ◽  
Vol 121 (1-2) ◽  
pp. 75-89 ◽  
Author(s):  
Fernando Garibay Bonales ◽  
F.Javier Trigos-Arrieta ◽  
Rigoberto Vera Mendoza
Keyword(s):  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces
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