Multiobjective second-order mixed symmetric duality with a square root term

2012 ◽  
Vol 218 (14) ◽  
pp. 7602-7613 ◽  
Author(s):  
S.K. Gupta ◽  
N. Kailey
Keyword(s):  
Second Order ◽  
Square Root ◽  
Symmetric Duality ◽  
Root Term

scholarly journals Mond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function

2013 ◽  
Vol 4 (1) ◽  
pp. 21-33
Author(s):  
Arun Kumar Tripathy
Keyword(s):  
Second Order ◽  
Nondifferentiable Programming ◽  
Square Root ◽  
Symmetric Duality ◽  
New Class ◽  
Duality Results ◽  
Special Cases ◽  
Mild Assumption ◽  
Root Term

In this paper, a new class of second order (Φ,ρ)-univex and second order (Φ,ρ)-pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order (∅,ρ) univexity and second order pseudo univexity. Special cases are discussed to show that this study extends some of the known results in related domain..

scholarly journals Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Arun Kumar Tripathy
Keyword(s):  
Fractional Programming ◽  
Sufficient Conditions ◽  
Positive Semidefinite ◽  
Second Order ◽  
Square Root ◽  
Multiobjective Fractional Programming ◽  
Multiobjective Fractional Programming Problem ◽  
Second Order Duality ◽  
Root Term ◽  
Necessary And Sufficient

Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization technique is used to establish duality results under generalized second order ρ-univexity assumption.

scholarly journals Wolfe Type Second Order Nondifferentiable Symmetric Duality in Multiobjective Programming over Cone with Generalized (K, F)-Convexity

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
A. K. Tripathy
Keyword(s):  
Multiobjective Programming ◽  
Second Order ◽  
Mixed Integer ◽  
Integer Programming Problem ◽  
Symmetric Duality ◽  
New Class ◽  
Duality Results ◽  
Pseudoconvex Function ◽  
Root Term ◽  
Mixed Integer Programming Problem

A new class of second order (K, F) pseudoconvex function is introduced with example. A pair of Wolfe type second order nondifferentiable symmetric dual programs over arbitrary cones with square root term is formulated. The duality results are established under second order (K, F) pseudoconvexity assumption. Also a Wolfe type second order minimax mixed integer programming problem is formulated and the symmetric duality results are established under second order (K, F) pseudoconvexity assumption.

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