Title: Second order duality for non-differentiable minimax programming problems involving generalised α-type-I functions

Authors: Anurag Jayswal; Krishna Kummari

Addresses: Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, India ' Department of Applied Mathematics, Indian School of Mines, Dhanbad 826 004, India

Abstract: In this paper, we focus our study on a non-differentiable minimax programming problem and its two types of second order dual models. We establish weak, strong and strict converse duality theorems under the assumptions of generalised second-order α-type I functions.

Keywords: non-differentiable minimax programming; second order duality; alpha-invexity; type I functions; Schwarz inequality.

DOI: 10.1504/IJMOR.2014.060852

International Journal of Mathematics in Operational Research, 2014 Vol.6 No.3, pp.393 - 406

Received: 21 Dec 2012
Accepted: 06 Feb 2013
Published online: 28 Jun 2014 *

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