Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Strongly Nonlinear Implicit Complementarity Problems in Hilbert Spaces

  • Cho, Yeol Je (Department of Mathematics Education and the RINS, College of Education, Gyeongsang National University) ;
  • Huang, Nan-Jing (Department of Mathematics, Sichuan University)
  • Received : 2005.07.14
  • Published : 2006.03.23
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Abstract

In this paper, we study a class of strongly nonlinear implicit complementarity problems in the setting of Hilbert spaces H (not necessarily Hilbert lattices). By using the property of the projection and a suitable change of variables, we establish the equivalence between the strongly nonlinear implicit complementarity problem and the fixed point problem in H. Moreover, we use this equivalence and the fixed point theorem of Boyd and Wong to prove the existence and uniqueness of solutions for the strongly nonlinear implicit complementarity problem in H.

Keywords

References

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