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Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems

In: Optimization and Optimal Control

Author

Listed:
  • Nguyen Xuan Tan

    (Institute of Mathematics)

  • Lai-Jiu Lin

    (National Changhua University of Education)

Abstract

Summary The quasi-equilibrium inclusion problems of Blum–Oettli type are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of general vector ideal (resp. proper, Pareto, weak) quasi-optimization problems, of quasivariational inequalities, and of quasivariational inclusion problems.

Suggested Citation

  • Nguyen Xuan Tan & Lai-Jiu Lin, 2010. "Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & Ider Tseveendorj (ed.), Optimization and Optimal Control, pages 105-119, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-89496-6_5
    DOI: 10.1007/978-0-387-89496-6_5
    as

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