scholarly journals Vector-valued separation functions and constrained vector optimization problems: optimality and saddle points

2020 ◽  
Vol 16 (2) ◽  
pp. 707-724 ◽  
Author(s):  
Jiawei Chen ◽  
◽  
Shengjie Li ◽  
Jen-Chih Yao ◽  
◽  
...  
Keyword(s):  
Vector Optimization ◽  
Optimization Problems ◽  
Saddle Points ◽  
Vector Optimization Problems ◽  
Vector Valued ◽  
Separation Functions

scholarly journals Vector variational-like inequalities and vector optimization problems

2014 ◽  
Vol 30 (1) ◽  
pp. 101-108
Author(s):  
MIHAELA MIHOLCA ◽  
Keyword(s):  
Vector Optimization ◽  
Optimization Problem ◽  
Optimization Problems ◽  
Vector Optimization Problem ◽  
Vector Optimization Problems ◽  
Limiting Subdifferential ◽  
Generalized Invexity ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Mordukhovich Limiting Subdifferential

In this paper, we present the concept of generalized invexity for vector-valued functions. Also, we consider different kinds of generalized vector variational-like inequality and a vector optimization problem. Some relations between vector variational-like inequalities and a vector optimization problem are established by using the properties of Mordukhovich limiting subdifferential.

scholarly journals On V-r-invexity and vector variational-like inequalities

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 1065-1073 ◽  
Author(s):  
S.K. Mishra ◽  
Vivek Laha
Keyword(s):  
Multiobjective Optimization ◽  
Vector Optimization ◽  
Critical Points ◽  
Optimization Problems ◽  
Efficient Solutions ◽  
Vector Optimization Problems ◽  
Multiobjective Optimization Problems ◽  
Vector Valued Functions ◽  
Vector Valued ◽  
Weak Vector

In this paper, we consider the multiobjective optimization problems involving the differentiable V-r-invex vector valued functions. Under the assumption of V-r-invexity, we use the Stampacchia type vector variational-like inequalities as tool to solve the vector optimization problems. We establish equivalence among the vector critical points, the weak efficient solutions and the solutions of the Stampacchia type weak vector variational-like inequality problems using Gordan?s separation theorem under the V-r-invexity assumptions. These conditions are more general than those appearing in the literature.

scholarly journals To the question of regularization of vector optimization problems

2021 ◽  
Vol 16 ◽  
pp. 99
Author(s):  
P.I. Kogut ◽  
I.V. Nechai
Keyword(s):  
Banach Spaces ◽  
Vector Optimization ◽  
Optimization Problems ◽  
Lower Semicontinuous ◽  
Sufficient Conditions ◽  
Vector Optimization Problems ◽  
Method Of Regularization ◽  
Vector Valued

We propose the method of regularization of one class of vector optimizations problems in Banach spaces, in case where vector-valued mapping is not lower semicontinuous in certain sense, which implies violation of sufficient conditions of solvability.

Sign in / Sign up

Export Citation Format

Share Document