IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/102578.html
   My bibliography  Save this article

A Wiener-Hopf Dynamical System for Mixed Equilibrium Problems

Author

Listed:
  • Farhat Suhel
  • S. K. Srivastava
  • Suhel Ahmad Khan

Abstract

We suggest and analyze dynamical systems associated with mixed equilibrium problems by using the resolvent operator technique. We show that these systems have globally asymptotic property. The concepts and results presented in this paper extend and unify a number of previously known corresponding concepts and results in the literature.

Suggested Citation

  • Farhat Suhel & S. K. Srivastava & Suhel Ahmad Khan, 2014. "A Wiener-Hopf Dynamical System for Mixed Equilibrium Problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-8, April.
    • Handle: RePEc:hin:jijmms:102578
    DOI: 10.1155/2014/102578
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/102578.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/102578.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/102578?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Suhel Ahmad Khan & Naeem Ahmad, 2013. "Existence Results for Vector Mixed Quasi-Complementarity Problems," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, February.
    2. Yekini Shehu, 2012. "Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications," Journal of Global Optimization, Springer, vol. 52(1), pages 57-77, January.
    3. Terry L. Friesz & David Bernstein & Roger Stough, 1996. "Dynamic Systems, Variational Inequalities and Control Theoretic Models for Predicting Time-Varying Urban Network Flows," Transportation Science, INFORMS, vol. 30(1), pages 14-31, February.
    4. Y. S. Xia & J. Wang, 2000. "On the Stability of Globally Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 129-150, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Y. S. Xia, 2004. "Further Results on Global Convergence and Stability of Globally Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 122(3), pages 627-649, September.
    2. Friesz, Terry L. & Suo, Zhong-Gui & Bernstein, David H., 1998. "A dynamic disequilibrium interregional commodity flow model," Transportation Research Part B: Methodological, Elsevier, vol. 32(7), pages 467-483, September.
    3. A. Stathopoulos & T. Tsekeris, 2003. "Framework for analysing reliability and information degradation of demand matrices in extended transport networks," Transport Reviews, Taylor & Francis Journals, vol. 23(1), pages 89-103, January.
    4. Bellei, Giuseppe & Gentile, Guido & Papola, Natale, 2005. "A within-day dynamic traffic assignment model for urban road networks," Transportation Research Part B: Methodological, Elsevier, vol. 39(1), pages 1-29, January.
    5. M. Pappalardo & M. Passacantando, 2002. "Stability for Equilibrium Problems: From Variational Inequalities to Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 567-582, June.
    6. Avinash Unnikrishnan & Steven Waller, 2009. "User Equilibrium with Recourse," Networks and Spatial Economics, Springer, vol. 9(4), pages 575-593, December.
    7. Friesz, Terry L. & Rigdon, Matthew A. & Mookherjee, Reetabrata, 2006. "Differential variational inequalities and shipper dynamic oligopolistic network competition," Transportation Research Part B: Methodological, Elsevier, vol. 40(6), pages 480-503, July.
    8. Friesz, Terry L. & Mookherjee, Reetabrata & Yao, Tao, 2008. "Securitizing congestion: The congestion call option," Transportation Research Part B: Methodological, Elsevier, vol. 42(5), pages 407-437, June.
    9. Diogo Pinheiro & Alberto A. Pinto & S. Z. Xanthopoulos & A. N. Yannacopoulos, 2011. "A projected gradient dynamical system modeling the dynamics of bargaining," CEMAPRE Working Papers 1101, Centre for Applied Mathematics and Economics (CEMAPRE), School of Economics and Management (ISEG), Technical University of Lisbon.
    10. Friesz, Terry L. & Shah, Samir, 2001. "An overview of nontraditional formulations of static and dynamic equilibrium network design," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 5-21, January.
    11. Jin-dong Li & Nan-jing Huang, 2018. "Asymptotical Stability for a Class of Complex-Valued Projective Neural Network," Journal of Optimization Theory and Applications, Springer, vol. 177(1), pages 261-270, April.
    12. Hsun-Jung Cho & Yow-Jen Jou & Chien-Lun Lan, 2009. "Time Dependent Origin-destination Estimation from Traffic Count without Prior Information," Networks and Spatial Economics, Springer, vol. 9(2), pages 145-170, June.
    13. Lie Han, 2022. "Proportional-Switch Adjustment Process with Elastic Demand and Congestion Toll in the Absence of Demand Functions," Networks and Spatial Economics, Springer, vol. 22(4), pages 709-735, December.
    14. Liu, Xiaolan & Zhou, Mi, 2016. "A one-layer recurrent neural network for non-smooth convex optimization subject to linear inequality constraints," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 39-46.
    15. Y. S. Xia & J. Wang, 2000. "On the Stability of Globally Projected Dynamical Systems," Journal of Optimization Theory and Applications, Springer, vol. 106(1), pages 129-150, July.
    16. G. E. Cantarella & D. P. Watling, 2016. "Modelling road traffic assignment as a day-to-day dynamic, deterministic process: a unified approach to discrete- and continuous-time models," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 5(1), pages 69-98, March.
    17. Yekini Shehu & Lulu Liu & Xiaolong Qin & Qiao-Li Dong, 2022. "Reflected Iterative Method for Non-Monotone Equilibrium Problems with Applications to Nash-Cournot Equilibrium Models," Networks and Spatial Economics, Springer, vol. 22(1), pages 153-180, March.
    18. Li, Jun & Fujiwara, Okitsugu & Kawakami, Shogo, 2000. "A reactive dynamic user equilibrium model in network with queues," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 605-624, November.
    19. Friesz, Terry L. & Mookherjee, Reetabrata, 2006. "Solving the dynamic network user equilibrium problem with state-dependent time shifts," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 207-229, March.
    20. Zhang, Pengcheng & Peeta, Srinivas, 2014. "Dynamic and disequilibrium analysis of interdependent infrastructure systems," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 357-381.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:102578. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.