J. Korean Math. Soc. 2011; 48(1): 13-21
Printed January 1, 2011
https://doi.org/10.4134/JKMS.2011.48.1.13
Copyright © The Korean Mathematical Society.
Tilak Raj Gulati and Shiv Kumar Gupta
Indian Institute of Technology Roorkee, Indian Institute of Technology Patna
In this paper, a pair of Wolfe type nondifferentiable second order symmetric minimax mixed integer dual problems is formulated. 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
MSC numbers: 90C47, 90C11, 90C30, 90C25
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