NONDIFFERENTIABLE SECOND-ORDER SYMMETRIC DUALITY

I. Ahmad () and Z. Husain
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I. Ahmad: Department of Mathematics, Aligarh Muslim University, Aligarh -202 002, India
Z. Husain: Department of Mathematics, Aligarh Muslim University, Aligarh -202 002, India

Asia-Pacific Journal of Operational Research (APJOR), 2005, vol. 22, issue 01, 19-31

Abstract: A pair of Mond–Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.

Keywords: Second-order symmetric duality; nondifferentiable programming; minimax; integer programming; self-duality (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:22:y:2005:i:01:n:s0217595905000406

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DOI: 10.1142/S0217595905000406

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