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Generalized Convexity and Related Topics

Author

Listed:
  • Igor V. Konnov

    (Kazan University)

  • Dinh The Luc

    (Department de Mathematiques)

  • Alexander M. Rubinov

    (University of Ballarat)

Abstract

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Individual chapters are listed in the "Chapters" tab

Suggested Citation

  • Igor V. Konnov & Dinh The Luc & Alexander M. Rubinov, 2006. "Generalized Convexity and Related Topics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-37007-9, December.
    • Handle: RePEc:spr:lnecms:978-3-540-37007-9
    DOI: 10.1007/978-3-540-37007-9
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    Citations

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    Cited by:

    1. Malti Kapoor, 2017. "Vector optimization over cones involving support functions using generalized $$(\Phi ,\rho )$$ ( Φ , ρ ) -convexity," OPSEARCH, Springer;Operational Research Society of India, vol. 54(2), pages 351-364, June.
    2. Tran Quoc & Le Muu, 2012. "Iterative methods for solving monotone equilibrium problems via dual gap functions," Computational Optimization and Applications, Springer, vol. 51(2), pages 709-728, March.
    3. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.
    4. Leandro Nascimento, 2011. "Remarks on the consumer problem under incomplete preferences," Theory and Decision, Springer, vol. 70(1), pages 95-110, January.
    5. M. M. Mäkelä & Y. Nikulin, 2009. "On Cone Characterizations of Strong and Lexicographic Optimality in Convex Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 519-538, December.
    6. Riccardo Cambini & Laura Carosi & Laura Martein, 2017. "Generating the efficient frontier of a class of bicriteria generalized fractional programming," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 81-101, November.
    7. N. J. Huang & J. Li & S. Y. Wu, 2009. "Optimality Conditions for Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 323-342, August.
    8. Arun Kumar Tripathy, 2021. "The Study Higher-order Wolfe-type Non-differentiable Multiple Objective Symmetric Duality Involving Generalized Convex Functions," SN Operations Research Forum, Springer, vol. 2(4), pages 1-18, December.
    9. Tran Quoc & Pham Anh & Le Muu, 2012. "Dual extragradient algorithms extended to equilibrium problems," Journal of Global Optimization, Springer, vol. 52(1), pages 139-159, January.
    10. I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.
    11. Tadeusz Antczak, 2014. "On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems," Journal of Global Optimization, Springer, vol. 59(4), pages 757-785, August.
    12. Ke Zhao & Xue Liu & Zhe Chen, 2011. "A class of r-semipreinvex functions and optimality in nonlinear programming," Journal of Global Optimization, Springer, vol. 49(1), pages 37-47, January.

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