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Nonmonotone equilibrium problems: coercivity conditions and weak regularization

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  • I. Konnov
  • D. Dyabilkin

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  • 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.
    • Handle: RePEc:spr:jglopt:v:49:y:2011:i:4:p:575-587
    DOI: 10.1007/s10898-010-9551-7
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    References listed on IDEAS

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    1. 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, October.
    2. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov, 2007. "Partitionable Variational Inequalities with Multi-valued Mappings," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 91-100, Springer.
    3. D. Aussel & N. Hadjisavvas, 2004. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 121(2), pages 445-450, May.
    4. M. Bianchi & N. Hadjisavvas & S. Schaible, 2004. "Minimal Coercivity Conditions and Exceptional Families of Elements in Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 122(1), pages 1-17, July.
    5. M. Bianchi & R. Pini, 2005. "Coercivity Conditions for Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 124(1), pages 79-92, January.
    6. Igor V. Konnov, 2004. "Dual approach for a class of implicit convex optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 87-99, September.
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    Citations

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    Cited by:

    1. Jinxia Cen & Tahar Haddad & Van Thien Nguyen & Shengda Zeng, 2022. "Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems," Journal of Global Optimization, Springer, vol. 84(3), pages 783-805, November.
    2. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.
    3. J. X. Cruz Neto & J. O. Lopes & A. Soubeyran & J. C. O. Souza, 2022. "Abstract regularized equilibria: application to Becker’s household behavior theory," Annals of Operations Research, Springer, vol. 316(2), pages 1279-1300, September.
    4. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
    5. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.
    6. P. Anh & J. Kim & L. Muu, 2012. "An extragradient algorithm for solving bilevel pseudomonotone variational inequalities," Journal of Global Optimization, Springer, vol. 52(3), pages 627-639, March.
    7. I. Konnov, 2015. "On auction equilibrium models with network applications," Netnomics, Springer, vol. 16(1), pages 107-125, August.
    8. Lam Quoc Anh & Tran Quoc Duy & Le Dung Muu & Truong Van Tri, 2021. "The Tikhonov regularization for vector equilibrium problems," Computational Optimization and Applications, Springer, vol. 78(3), pages 769-792, April.
    9. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
    10. Mohammad Alizadeh & Nicolas Hadjisavvas, 2012. "Local boundedness of monotone bifunctions," Journal of Global Optimization, Springer, vol. 53(2), pages 231-241, June.
    11. Jean Strodiot & Phan Vuong & Thi Nguyen, 2016. "A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces," Journal of Global Optimization, Springer, vol. 64(1), pages 159-178, January.
    12. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    13. M. Castellani & M. Giuli, 2019. "A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces," Journal of Global Optimization, Springer, vol. 75(1), pages 163-176, September.
    14. Marco Castellani & Massimiliano Giuli, 2021. "A Generalized Ky Fan Minimax Inequality on Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 343-357, August.

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