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

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  • Jianke Zhang

Abstract

The concepts of preinvex and invex are extended to the interval-valued functions. Under the assumption of invexity, the Karush-Kuhn-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.

Suggested Citation

  • Jianke Zhang, 2013. "Optimality Condition and Wolfe Duality for Invex Interval-Valued Nonlinear Programming Problems," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, December.
    • Handle: RePEc:hin:jnljam:641345
    DOI: 10.1155/2013/641345
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    Cited by:

    1. G. C. Bento & J. X. Cruz Neto & P. A. Soares & A. Soubeyran, 2022. "A new regularization of equilibrium problems on Hadamard manifolds: applications to theories of desires," Annals of Operations Research, Springer, vol. 316(2), pages 1301-1318, September.
    2. B. Japamala Rani & Krishna Kummari, 2023. "Duality for fractional interval-valued optimization problem via convexificator," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 481-500, March.

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