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http://dx.doi.org/10.4134/JKMS.2011.48.1.013

NONDIFFERENTIABLE SECOND-ORDER MINIMAX MIXED INTEGER SYMMETRIC DUALITY  

Gulati, Tilak Raj (DEPARTMENT OF MATHEMATICS INDIAN INSTITUTE OF TECHNOLOGY)
Gupta, Shiv Kumar (DEPARTMENT OF MATHEMATICS INDIAN INSTITUTE OF TECHNOLOGY)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 13-21 More about this Journal
Abstract
In this paper, a pair of Wolfe type nondifferentiable sec-ond order symmetric minimax mixed integer dual problems is formu-lated. Symmetric and self-duality theorems are established under $\eta_1$-bonvexity/$\eta_2$-boncavity assumptions. Several known results are obtained as special cases. Examples of such primal and dual problems are also given.
Keywords
nonlinear programming; symmetric duality; minimax programming; self-duality; $\eta$-bonvexity;
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