scholarly journals A SUBGRADIENT METHODS FOR NON-SMOOTH VECTOR OPTIMIZATION PROBLEMS

2015 ◽  
Vol 102 (3) ◽  
Author(s):  
A. Kumari
Keyword(s):  
Vector Optimization ◽  
Optimization Problems ◽  
Vector Optimization Problems ◽  
Subgradient Methods ◽  
Smooth Vector

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.

A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems

2018 ◽  
Vol 52 (2) ◽  
pp. 567-575 ◽  
Author(s):  
Do Sang Kim ◽  
Nguyen Van Tuyen
Keyword(s):  
Optimality Conditions ◽  
Vector Optimization ◽  
Optimization Problems ◽  
Necessary Optimality Conditions ◽  
Second Order ◽  
Vector Optimization Problems ◽  
Smooth Vector ◽  
Incorrect Result

The aim of this note is to present some second-order Karush–Kuhn–Tucker necessary optimality conditions for vector optimization problems, which modify the incorrect result in ((10), Thm. 3.2).

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