Wolfe Type Second Order Nondifferentiable Symmetric Duality in Multiobjective Programming over Cone with Generalized (K, F)-Convexity
Author(s) -
A. K. Tripathy
Publication year - 2014
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2014/687917
Subject(s) - mathematics , duality (order theory) , order (exchange) , minimax , type (biology) , convexity , pure mathematics , cone (formal languages) , strong duality , combinatorics , class (philosophy) , integer (computer science) , mathematical optimization , optimization problem , computer science , algorithm , finance , financial economics , economics , biology , artificial intelligence , programming language , ecology
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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