An overview of second order tangent sets and their application to vector optimization

SeMA Journal ◽  
2010 ◽  
Vol 52 (1) ◽  
pp. 73-96 ◽  
Author(s):  
G. Giorgi ◽  
B. Jiménez ◽  
V. Novo
Keyword(s):  
Vector Optimization ◽  
Second Order ◽  
Tangent Sets ◽  
Order Tangent

Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets

1999 ◽  
Vol 9 (2) ◽  
pp. 466-492 ◽  
Author(s):  
J. Frédéric Bonnans ◽  
Roberto Cominetti ◽  
Alexander Shapiro
Keyword(s):  
Optimality Conditions ◽  
Second Order ◽  
Second Order Optimality Conditions ◽  
Tangent Sets ◽  
Order Tangent

scholarly journals A Class of Second Order Tangent Sets

2020 ◽  
Vol 61 (5) ◽  
pp. 844-847
Author(s):  
S. S. Kutateladze
Keyword(s):  
Second Order ◽  
Tangent Sets ◽  
Order Tangent

scholarly journals Nondifferentiable G-Mond–Weir Type Multiobjective Symmetric Fractional Problem and Their Duality Theorems under Generalized Assumptions

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1348 ◽  
Author(s):  
Ramu Dubey ◽  
Lakshmi Narayan Mishra ◽  
Luis Manuel Sánchez Ruiz
Keyword(s):  
Vector Optimization ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Second Order ◽  
Type Model ◽  
Dual Model ◽  
Duality Theorems ◽  
Converse Duality ◽  
Numerical Example ◽  
Primal Dual

In this article, a pair of nondifferentiable second-order symmetric fractional primal-dual model (G-Mond–Weir type model) in vector optimization problem is formulated over arbitrary cones. In addition, we construct a nontrivial numerical example, which helps to understand the existence of such type of functions. Finally, we prove weak, strong and converse duality theorems under aforesaid assumptions.

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