Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

RANDOM GENERALIZED SET-VALUED COMPLEMENTARITY PROBLEMS

  • Published : 1997.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

Complementaity problem theory developed by Lemke [10], Cottle and Dantzig [8] and others in the early 1960s and thereafter, has numerous applications in diverse fields of mathematical and engineering sciences. And it is closely related to variational inquality theory and fixed point theory. Recently, fixed point methods for the solving of nonlinear complementarity problems were considered by Noor et al. [11, 12]. Also complementarity problems related to variational inequality problems were investigated by Chang [1], Cottle [7] and others.

Keywords

References

  1. Shanghai Scientific and Tech. Variational Inequality and Complemeniarity Problem Theory with Applications S. S. Chang
  2. Acta Math. Appl. Sinica v.16 Random generalized set-valued quasi-complementarity problems S. S. Chang;N. J. Huang
  3. Indian J. Math. v.35 Generalized random multivalued quasi-complementarity problems S. S. Chang;N. J. Huang
  4. Applied Math. and Mech.(special issue) Random variational inequalities and random saddle point theorems S. S. Chang;L. Qing
  5. J. Math. Research Expo. v.9 Random variational inequalities S. S. Chang;Y. G. Zhu
  6. J. Math. Anal. Appl. v.153 The vector complementarity problem and its equivalence with the weak minimal element in ordered sets G. Y. Chen;X. Q. Yang
  7. Sympos. Math. v.19 Complementarity and variational problems R. W. Cottle
  8. Linear Algebra Appl. v.1 Complementarity pivot theory of mathematical programming R. W. Cottle;G. B. Dantzig
  9. J. Appl. Math. and Stoc. Anal. Random vector variational inequalities and random noncooperative vector equilibrium G. M. Lee;B. S. Lee;S. S. Chang
  10. Management Sci. v.11 Bimatrix equilibrium points and mathematical programming C. B. Lemke
  11. J. Math. Anal. Appl. v.133 Fixed point approach for complementarity problems M. A. Noor
  12. Indian J. Math. v.35 Fixed point methods for nonlinear complementarity problems M. A. Noor;E. H. AL-Shemas
  13. Math. Nachr. v.125 Random quasi-variational inequality N. X. Tan