Efficiencies and Optimality Conditions in Vector Optimization with Variable Ordering Structures Marius Durea

2019 ◽  
pp. 158-209
Author(s):  
Marius Durea ◽  
Elena-Andreea Florea ◽  
Radu Strugariu
Keyword(s):  
Optimality Conditions ◽  
Vector Optimization ◽  
Variable Ordering ◽  
Variable Ordering Structures

Derivatives of Hadamard type in vector optimization

2018 ◽  
Vol 68 (2) ◽  
pp. 421-430
Author(s):  
Karel Pastor
Keyword(s):  
Nonlinear Analysis ◽  
Optimality Conditions ◽  
Vector Optimization ◽  
Optimality Condition ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Dini Derivatives ◽  
Scalar Optimality ◽  
Derivatives Of

Abstract In our paper we will continue the comparison which was started by Vsevolod I. Ivanov [Nonlinear Analysis 125 (2015), 270–289], where he compared scalar optimality conditions stated in terms of Hadamard derivatives for arbitrary functions and those which was stated for ℓ-stable functions in terms of Dini derivatives. We will study the vector optimization problem and we show that also in this case the optimality condition stated in terms of Hadamard derivatives is more advantageous.

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