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Nondifferentiable second order self and symmetric dual multiobjective programs
I. Husain,A.Ahmed,Mashoob Masoodi 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, we construct a pair of Wolfe type second order symmetric dual problems, in which each component of the objective function contains support function and is, therefore, nondifferentiable. For this problem, we validateweak, strong and converse duality theorems under bonvexity – boncavity assumptions. A second order self duality theorem is also proved under additional appropriate conditions.
Mixed type second-order duality with support function
I. Husain,A. Ahmed,Mashoob Masoodi 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
Mixed type second order dual to the non-differentiable problem containing support functions is formulated and duality theorems are proved under generalized second order convexity conditions. It is pointed out that the mixed type duality results already reported in the literature are the special cases of our results. Mixed type second order dual to the non-differentiable problem containing support functions is formulated and duality theorems are proved under generalized second order convexity conditions. It is pointed out that the mixed type duality results already reported in the literature are the special cases of our results.
MIXED TYPE SECOND-ORDER DUALITY WITH SUPPORT FUNCTION
Husain, I.,Ahmed, A.,Masoodi, Mashoob The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
Mixed type second order dual to the non-differentiable problem containing support functions is formulated and duality theorems are proved under generalized second order convexity conditions. It is pointed out that the mixed type duality results already reported in the literature are the special cases of our results.
NONDIFFERENTIABLE SECOND ORDER SELF AND SYMMETRIC DUAL MULTIOBJECTIVE PROGRAMS
Husain, I.,Ahmed, A.,Masoodi, Mashoob Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
In this paper, we construct a pair of Wolfe type second order symmetric dual problems, in which each component of the objective function contains support function and is, therefore, nondifferentiable. For this problem, we validate weak, strong and converse duality theorems under bonvexity - boncavity assumptions. A second order self duality theorem is also proved under additional appropriate conditions.