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Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems

Author

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  • Yating Guo

    (College of Science, Hohai University, Nanjing 210098, China)

  • Guoju Ye

    (College of Science, Hohai University, Nanjing 210098, China)

  • Wei Liu

    (College of Science, Hohai University, Nanjing 210098, China)

  • Dafang Zhao

    (School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China)

  • Savin Treanţǎ

    (Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above optimization conditions. Examples are also presented to illustrate corresponding results.

Suggested Citation

  • Yating Guo & Guoju Ye & Wei Liu & Dafang Zhao & Savin Treanţǎ, 2021. "Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2979-:d:685060
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    Cited by:

    1. Savin Treanţă, 2022. "Variational Problems and Applications," Mathematics, MDPI, vol. 11(1), pages 1-4, December.
    2. Savin Treanţă & Priyanka Mishra & Balendu Bhooshan Upadhyay, 2022. "Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    3. Savin Treanţă & Tareq Saeed, 2023. "On Weak Variational Control Inequalities via Interval Analysis," Mathematics, MDPI, vol. 11(9), pages 1-11, May.
    4. Haojie Lv & Guixiang Wang, 2022. "Approximations of Fuzzy Numbers by Using r - s Piecewise Linear Fuzzy Numbers Based on Weighted Metric," Mathematics, MDPI, vol. 10(1), pages 1-17, January.
    5. Guo, Yating & Ye, Guoju & Liu, Wei & Zhao, Dafang & Treanţǎ, Savin, 2023. "Solving nonsmooth interval optimization problems based on interval-valued symmetric invexity," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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