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Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

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Abstract

In this paper, well-posedness of generalized quasi-variational inclusion problems and of optimization problems with generalized quasi-variational inclusion problems as constraints is introduced and studied. Some metric characterizations of well-posedness for generalized quasi-variational inclusion problems and for optimization problems with generalized quasi-variational inclusion problems as constraints are given. The equivalence between the well-posedness of generalized quasi-variational inclusion problems and the existence of solutions of generalized quasi-variational inclusion problems is given under suitable conditions.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, People’s Republic of China

    San-hua Wang

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, People’s Republic of China

    Nan-jing Huang

  3. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. San-hua Wang
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  2. Nan-jing Huang
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  3. Donal O’Regan
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Correspondence to Nan-jing Huang.

Additional information

This work was supported by the Key Program of NSFC (Grant No. 70831005), the National Natural Science Foundation of China (11171237, 11201216, 11061023), the Natural Science Foundation of Jiangxi Province (2010GZS0145) and the Youth Foundation of Jiangxi Educational Committee (GJJ10086).

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Wang, Sh., Huang, Nj. & O’Regan, D. Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints. J Glob Optim 55, 189–208 (2013). https://doi.org/10.1007/s10898-012-9980-6

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  • DOI: https://doi.org/10.1007/s10898-012-9980-6

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