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Optimality and duality in multiobjective programming involving higher order semilocally strong convexity

Author

Listed:
  • Anurag Jayswal
  • Vivek Singh
  • I. Ahmad

Abstract

In this paper, we propose a generalisation of convexity, namely higher order semilocally strong convexity for a nonlinear multiobjective programming problem, where the function involved are semidifferentiable. The generalised Karush-Kuhn-Tucker necessary and sufficient optimality conditions are derived. Moreover, a general Mond-Weir type dual problem is presented for nonlinear multiobjective programming problem involving higher order semilocally strong convexity and usual duality theorems are discussed.

Suggested Citation

  • Anurag Jayswal & Vivek Singh & I. Ahmad, 2017. "Optimality and duality in multiobjective programming involving higher order semilocally strong convexity," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(2), pages 204-218.
    • Handle: RePEc:ids:ijmore:v:11:y:2017:i:2:p:204-218
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