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

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Optimization and Optimal Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 39))

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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.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Hanoi, Vietnam

    Nguyen Xuan Tan

  2. Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

    Lai-Jiu Lin

Authors
  1. Nguyen Xuan Tan
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  2. Lai-Jiu Lin
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Corresponding author

Correspondence to Nguyen Xuan Tan .

Editor information

Editors and Affiliations

  1. South Kensington Campus, London, SW7 2AZ, United Kingdom

    Altannar Chinchuluun

  2. Dept. Industrial & Systems, Engineering, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Panos M. Pardalos

  3. The School of Economic Studies, Dept.of Mathematics & Computer Science, National University of Mongolia, Ulaanbaatar, 210646, Mongolia

    Rentsen Enkhbat

  4. Labo. PRISM, Université Versailles, av. des Etats-Unis 45, Versailles CX, 78035, France

    Ider Tseveendorj

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Tan, N.X., Lin, LJ. (2010). Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems. In: Chinchuluun, ., Pardalos, P., Enkhbat, R., Tseveendorj, I. (eds) Optimization and Optimal Control. Springer Optimization and Its Applications(), vol 39. Springer, New York, NY. https://doi.org/10.1007/978-0-387-89496-6_5

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