Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

COMPARISON EXAMPLES ON GENERALIZED QUASI-VARIATIONAL INEQUALITIES

  • Kum, Sang-Ho (Department of Applied mathematics, Korea Maritime University)
  • Published : 1999.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

The purpose of this paper is to provide two examples which prove that Cubiotti's theorem and Yao's one on the generalized quasi-variational inequality problem are independent of each other. In addition, we give another example which tells us that certain conditions are essential in Cubiotti's theorem and Yao's one.

Keywords

References

  1. Math. Oper. Res. v.7 The Generalized quasi-variational inequality problem D. Chan;J. S. Pang
  2. Set-Valued Anal. v.1 An existence theorem for generalized quasi-variational inequalities P. Cubiotti
  3. Appl. Math. Lett. v.9 A note on Chan and Pang's existence theorem for generalized quasivariational inequalities P. Cubiotti
  4. J. Optim. theory Appl. v.92 Generalized quasi-variational inequalities without continuities P. Cubiotti
  5. Bull. Austral. Math. Soc. v.54 A generalized quasi-variational inequality without upper semicontinuity P. Cubiotti;X. Z. Yuan
  6. J. Math. Anal. Appl. v.108 Generalized quasi-variational inequalities in locally convex topological vector spaces M. H. Shih;K. K. Tan
  7. Math. Oper. Res. v.20 Generalized quasi-variational inequality problems with discontinous mappings J. C. Yao
  8. J. Math. Anal. Appl. v.182 Variational and Generalized Variational Inequalities with Discontinuous Mappings J. C. Yao;J. S. Guo