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Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems

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Applied Analysis in Biological and Physical Sciences

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 186))

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Abstract

We generalize the notion of Levitin–Polyak well-posedness under perturbations for strong version of generalized quasi-equilibrium problems. Some necessary and sufficient conditions for Levitin–Polyak well-posedness and their equivalences between well-posedness of these problems with their scalarizations are given.

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Acknowledgements

The second author was partially supported by the Center of Excellence for Mathematics, University of Isfahan, Iran.

Author information

Authors and Affiliations

  1. Department of Basic Sciences, Golpayegan University of Technology, Golpayegan, Isfahan, Iran

    M. Darabi

  2. Department of Mathematics, Sheikhbahaee University, Isfahan, Iran

    J. Zafarani

  3. University of Isfahan, Isfahan, Iran

    J. Zafarani

Authors
  1. M. Darabi
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  2. J. Zafarani
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Corresponding author

Correspondence to J. Zafarani .

Editor information

Editors and Affiliations

  1. University of Arizona Dept. of Mathematics, Tucson, USA

    Jim M. Cushing

  2. Department of Applied Mathematics, Aligarh Muslim University Department of Applied Mathematics, Aligarh, Uttar Pradesh, India

    M. Saleem

  3. Department of Mathematics and Statistics, University of Victoria, VICTORIA, British Columbia, Canada

    H. M. Srivastava

  4. Department of Applied Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Mumtaz Ahmad Khan

  5. Department of Applied Mathematics, Aligarh Muslim University, Aligarh, India

    M. Merajuddin

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Darabi, M., Zafarani, J. (2016). Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems. In: Cushing, J., Saleem, M., Srivastava, H., Khan, M., Merajuddin, M. (eds) Applied Analysis in Biological and Physical Sciences. Springer Proceedings in Mathematics & Statistics, vol 186. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3640-5_20

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