Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems

@article{Zhang2013OptimalityCA,
  title={Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems},
  author={Jianke Zhang},
  journal={J. Applied Mathematics},
  year={2013},
  volume={2013},
  pages={641345:1-641345:11}
}
The concepts of preinvex and invex are extended to the interval-valued functions. Under the assumption of invexity, the KarushKuhn-Tucker optimality sufficient and necessary conditions for interval-valued nonlinear programming problems are derived. Based on the concepts of having no duality gap in weak and strong sense, the Wolfe duality theorems for the invex interval-valued nonlinear programming problems are proposed in this paper. 

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References

Publications referenced by this paper.
Showing 1-10 of 21 references

On interval-valued nonlinear programming problems

  • H.-C. Wu
  • Journal of Mathematical Analysis and Applications…
  • 2008
Highly Influential
10 Excerpts

Wolfe duality for interval-valued optimization

  • H. C. Wu
  • Journal of Optimization Theory and Applications…
  • 2008
Highly Influential
10 Excerpts

Introduction to Stochastic Programming, Physica

  • J. R. Birge, F. Louveaux
  • 1997
Highly Influential
5 Excerpts

Invexity and generalized convexity,”Optimization

  • R. Pini
  • vol. 22,
  • 1991
Highly Influential
4 Excerpts

Duality theory for optimization problems with interval-valued objective functions

  • H. C. Wu
  • Journal of Optimization Theory and Applications…
  • 2010
Highly Influential
5 Excerpts

A class of nonconvex functions and mathematical programming

  • T. Weir, V. Jeyakumar
  • Bulletin of the Australian Mathematical Society…
  • 1988
Highly Influential
5 Excerpts

Pre-invex functions inmultiple objective optimization

  • T.Weir, B.Mond
  • Journal of Mathematical Analysis and Applications…
  • 1988
Highly Influential
6 Excerpts

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