GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Al Said, Elsa-A. (Department of Mathematics, College of Science King Saud University) ;
  • Noor, Muhammad-Aslam (Department of Mathematics, College of Science King Saud University)
  • Published : 1998.09.01

Abstract

In this paper we introduce and study a new class of gen-eralized mildly nonlinear complementarity problems for fuzzy map-pings. We use the change of variabes technique to establish the equivalence between the generalized mildly nonlinear complementar-ity problems and the Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithm for solv-ing the generalized mildly nonlinear complemetarity problems.

Keywords

References

  1. J. Opt. Theory Applic v.93 Fixed-point technique for implicit complementarity problem in Hibert Lattice K.Ahmad;K.R.Kazmi;N.Rehman
  2. Shanghi Scientific and Tech. Variational Inequality and Complementarity Problem Theory with Applications S.Chang
  3. Fuzzy Stes and System v.55 Generalized complementarity problems for fuzzy mappings S.Chang;N.J.Huang
  4. Linear Algebra Applic. v.1 Complementarity pivot theory of mathematical programming R.W.Cottle;G.B.Dantzig
  5. The Linear Complementarity Problem R.W.Cottle;J.P.Pang;R.E.Stone
  6. Theory and Applications Fuzzy Sets and Systems D.Dubois;H.Prade
  7. Korean J. Comput. Appl. Math. v.4 Completely generalized mildly nonlinear complementarity problems for fuzzy mappings N.Huang;W.Zhang
  8. Lecture Notes in Math v.1528 Complementarity Problems G.Isac
  9. Management Sci v.11 Bimatrix equilibrium points and mathematical programming C.E.Lemke
  10. Pacific J.Math v.30 Multi-valued it contraction mappings S.B.Nadler
  11. J. Math. Anal. Appl. v.133 Iterative methods for a class of complementarity problems M.A.Noor
  12. J. Math. Anal. Appl. v.133 Fixed point approach for complementarity problems M.A.Noor
  13. New Zealand J. Math v.26 Some recent advances in variational inequalities, Part Ⅰ, basic concepts M.A.Noor
  14. New Zealand J. Math v.26 Some recent advances in variational inequalities, PartⅡ, oher concepts M.A.Noor
  15. Appl. Math. Lett. An iterative technique for generalized strongly nonlinear complementarity problems M.A.Noor;E.A.Al-Said
  16. J. Comput. Appl. Math. v.47 Some aspects of variational inequalities M.A.Noor;K.I.Noor;Th.M.Rassias
  17. Linear Appl. v.18 M-matrix characterisation, I: Nonsingular M-matrices R.J.Plemmons
  18. Matrix Iterative Analysis R.S.Verga
  19. Fuzzy sets, Inform. and Control v.8 L.A.Zadeh
  20. Fuzzy Set Theory and its Applications H.J.Zimmermann