East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ON GENERALIZED NONLINEAR QUASIVARIATIONAL INEQUALITIES

  • Li, Jin-Song (Department of Technology Tieling Normal College) ;
  • Kang, Shin-Min (Department of Mathematics Research Institute of Natural Science Gyeongsang National University)
  • Received : 2008.10.06
  • Accepted : 2008.12.20
  • Published : 2009.06.30
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Abstract

In this paper, we introduce a new generalized nonlinear quasivariational inequality and establish its equivalence with a xed point problem by using the resolvent operator technique. Utilizing this equivalence, we suggest two iterative schemes, prove two existence theorems of solutions for the generalized nonlinear quasivariational inequality involving generalized cocoercive mapping and establish some convergence results of the sequences generated by the algorithms. Our results include several previously known results as special cases.

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References

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