Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (3): 473-480.

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Solvability of a Perturbed Variational Inequality

Li Zejun1, Sun Shuqin2   

  1. 1 Department of Mathematics, Sichuan Normal University, Chengdu 610066;
    2 Department of Mathematics, Sichuan Minzu College, Sichuan Kangding 626001
  • Received:2015-09-19 Revised:2016-03-13 Online:2016-06-26 Published:2016-06-26
  • Supported by:

    Supported by the NSFC (11271274) and the Scientific Reserch Fund of Sichuan Provincial Education Department (11ZB153)

Abstract:

The solvability of a perturbed variational inequality is investigated under certain coercivity conditions in this paper. Two main results are obtained. The coercivity condition (B) assumed in the first result implies the solution set of the variational inequality is nonempty and bounded, and the coercivity condition (F) in the second one shows the solution set of the variational inequality is contained in a closed ball. The first result extends some known results, while the second one is new.

Key words: Variational inequalities, Coercivity conditions, Perturbation, Bounded

CLC Number: 

  • O22
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