Duality theorems

1970 ◽  
pp. 67-81
Author(s):  
Allen Altman ◽  
Steven Kleiman
Keyword(s):  
Duality Theorems

scholarly journals Duality Theorems for (ρ,ψ,d)-Quasiinvex Multiobjective Optimization Problems with Interval-Valued Components

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 894
Author(s):  
Savin Treanţă
Keyword(s):  
Multiobjective Optimization ◽  
Optimization Problems ◽  
Integral Functional ◽  
Multiple Integral ◽  
Control Problems ◽  
Duality Theorems ◽  
New Class ◽  
Duality Results ◽  
Multiobjective Optimization Problems ◽  
Interval Valued

The present paper deals with a duality study associated with a new class of multiobjective optimization problems that include the interval-valued components of the ratio vector. More precisely, by using the new notion of (ρ,ψ,d)-quasiinvexity associated with an interval-valued multiple-integral functional, we formulate and prove weak, strong, and converse duality results for the considered class of variational control problems.

scholarly journals Symmetric dual multiobjective fractional programming

1991 ◽  
Vol 50 (1) ◽  
pp. 67-74 ◽  
Author(s):  
T. Weir
Keyword(s):  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Duality Theorems

AbstractA pair of symmetric dual multiobjective fractional programming problems is formulated and appropriate duality theorems are established.

Duality Theorems

1970 ◽  
pp. 177-220
Author(s):  
Josef Stoer ◽  
Christoph Witzgall
Keyword(s):  
Duality Theorems

scholarly journals Some duality theorems

1957 ◽  
Vol 1 (3) ◽  
pp. 433-445
Author(s):  
J. J. Price
Keyword(s):  
Duality Theorems

scholarly journals Special class of G-Wolfe type fractional symmetric duality theorems under G-pseodoinvexity assumptions

2021 ◽  
Vol 1724 (1) ◽  
pp. 012027
Author(s):  
Ramu Dubey ◽  
Arvind Kumar ◽  
Pooja Gupta ◽  
Shubham Jayswal ◽  
Vishnu Narayan Mishra
Keyword(s):  
Special Class ◽  
Duality Theorems ◽  
Symmetric Duality

scholarly journals Mixed E-duality for E-differentiable Vector Optimization Problems Under (Generalized) V-E-invexity

2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Najeeb Abdulaleem
Keyword(s):  
Vector Optimization ◽  
Optimization Problem ◽  
Dual Problem ◽  
Optimization Problems ◽  
Vector Optimization Problem ◽  
Equality Constraints ◽  
Vector Optimization Problems ◽  
Duality Theorems ◽  
Differentiable Vector

AbstractIn this paper, a class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. The so-called vector mixed E-dual problem is defined for the considered E-differentiable vector optimization problem with both inequality and equality constraints. Then, several mixed E-duality theorems are established under (generalized) V-E-invexity hypotheses.

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