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Global Dynamical Systems Involving Generalized f‐Projection Operators and Set‐Valued Perturbation in Banach Spaces

Author

Listed:
  • Yun-zhi Zou
  • Xi Li
  • Nan-jing Huang
  • Chang-yin Sun

Abstract

A new class of generalized dynamical systems involving generalized f‐projection operators is introduced and studied in Banach spaces. By using the fixed‐point theorem due to Nadler, the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solutions set of the systems with set‐valued perturbation is showed to be continuous with respect to the initial value.

Suggested Citation

  • Yun-zhi Zou & Xi Li & Nan-jing Huang & Chang-yin Sun, 2012. "Global Dynamical Systems Involving Generalized f‐Projection Operators and Set‐Valued Perturbation in Banach Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:682465
    DOI: 10.1155/2012/682465
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    References listed on IDEAS

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    1. Terry L. Friesz & David Bernstein & Nihal J. Mehta & Roger L. Tobin & Saiid Ganjalizadeh, 1994. "Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems," Operations Research, INFORMS, vol. 42(6), pages 1120-1136, December.
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