NONDIFFERENTIABLE SECOND-ORDER MINIMAX MIXED INTEGER SYMMETRIC DUALITY

Title & Authors
NONDIFFERENTIABLE SECOND-ORDER MINIMAX MIXED INTEGER SYMMETRIC DUALITY
Gulati, Tilak Raj; Gupta, Shiv Kumar;

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 $\small{\eta_1}$-bonvexity/$\small{\eta_2}$-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;$\small{\eta}$-bonvexity;
Language
English
Cited by
1.
On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions, Annals of Operations Research, 2016, 244, 2, 603
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