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Symmetric duality in non-differentiable programming using G-invexity

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  • Ramu Dubey
  • S.K. Gupta

Abstract

Mond-Weir and Wolfe type non-differentiable primal and dual symmetric problems in mathematical programming are formulated. In this paper, we use a generalisation of convexity, namely G-invexity, to prove weak, strong and converse duality relations for the two non-differentiable symmetric programming problems. Some previous known results for symmetric programming problems turn out to be special cases of the results established in the paper.

Suggested Citation

  • Ramu Dubey & S.K. Gupta, 2016. "Symmetric duality in non-differentiable programming using G-invexity," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(3), pages 395-407.
  • Handle: RePEc:ids:ijmore:v:9:y:2016:i:3:p:395-407
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