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MULTIOBJECTIVE SECOND-ORDER NONDIFFERENTIABLE SYMMETRIC DUALITY INVOLVING (F, $\alpha$, $\rho$, d)-CONVEX FUNCTIONS  

Gupta, S.K. (Department of Mathematics, Indian Institute of Technology Patna)
Kailey, N. (School of Mathematics and Computer Applications, Thapar University)
Sharma, M.K. (School of Mathematics and Computer Applications, Thapar University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1395-1408 More about this Journal
Abstract
In this paper, a pair of Wolfe type second-order nondifferentiable multiobjective symmetric dual program over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under second-order (F, $\alpha$, $\rho$, d)-convexity assumptions. An illustration is given to show that second-order (F, $\alpha$, $\rho$, d)-convex functions are generalization of second-order F-convex functions. Several known results including many recent works are obtained as special cases.
Keywords
Nondifferentiable multiobjective programming; Second-order (F, $\alpha$, $\rho$, d)-convexity; Duality theorems; Cone constraints; Efficient solutions;
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