Characterizations of efficient points in convex vector optimization problems

2001 ◽  
Vol 53 (2) ◽  
pp. 205-214 ◽  
Author(s):  
Kristin Winkler
Keyword(s):  
Vector Optimization ◽  
Optimization Problems ◽  
Efficient Points ◽  
Vector Optimization Problems ◽  
Convex Vector Optimization

scholarly journals G-α-preinvex functions and non-smooth vector optimization problems

2021 ◽  
pp. 8-8
Author(s):  
Yu Chen
Keyword(s):  
Vector Optimization ◽  
Critical Points ◽  
Optimization Problems ◽  
Efficient Points ◽  
Vector Optimization Problems ◽  
Solution Properties ◽  
Smooth Vector ◽  
Inequality Problem ◽  
Preinvex Functions ◽  
Weak Vector

In this paper, we proposed the non-smooth G-?-preinvexity by generalizing ?-invexity and G-preinvexity, and discussed some solution properties about non-smooth vector optimization problems and vector variational-like inequality problems under the condition of non-smooth G-?-preinvexity. Moreover, we also proved that the vector critical points, the weakly efficient points and the solutions of the non-smooth weak vector variational-like inequality problem are equivalent under non-smooth pseudo-G-?-preinvexity assumptions.

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