Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity

2005 ◽  
Vol 167 (1) ◽  
pp. 28-34 ◽  
Author(s):  
S.K. Mishra
Keyword(s):  
Mathematical Programming ◽  
Higher Order ◽  
Symmetric Duality ◽  
Generalized Invexity

scholarly journals Nondifferentiable higher order symmetric duality under invexity/generalized invexity

Filomat ◽  
2014 ◽  
Vol 28 (8) ◽  
pp. 1661-1674 ◽  
Author(s):  
T.R. Gulati ◽  
Khushboo Verma
Keyword(s):  
Higher Order ◽  
Duality Theorems ◽  
Symmetric Duality ◽  
Converse Duality ◽  
Generalized Invexity ◽  
Self Duality ◽  
Special Cases ◽  
Dual Models

In this paper, we introduce a pair of nondifferentiable higher-order symmetric dual models. Weak, strong and converse duality theorems for this pair are established under the assumption of higher order invexity/generalized invexity. Self duality has been discussed assuming the function involved to be skew-symmetric. Several known results are obtained as special cases.

On Mixed Symmetric Duality in Mathematical Programming

OPSEARCH ◽  
1999 ◽  
Vol 36 (2) ◽  
pp. 165-171 ◽  
Author(s):  
S. Chandra ◽  
I. Husain ◽  
Abha
Keyword(s):  
Mathematical Programming ◽  
Symmetric Duality
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