DOI QR코드

DOI QR Code

GENERALIZED F-IMPLICIT MULTIVALUED VARIATIONAL INEQUALITY PROBLEMS AND COMPLEMENTARITY PROBLEMS

  • Received : 2009.05.14
  • Accepted : 2010.04.12
  • Published : 2010.05.31

Abstract

In this paper, we study generalized F-implicit multivalued variational inequality problems on a real normed vector space setting. As an application, we study generalized F-implicit multivalued complementarity problems.

Keywords

References

  1. C. Berge, Espaces Topologique, fonctions, multivoques, Dunod, Paris, 1959.
  2. K. Fan, A generalization of Tychono's xed point theorem, Math. Ann. 142 (1961), 305-310. https://doi.org/10.1007/BF01353421
  3. S. C. Fang and E. L. Peterson, Generalized variational inequalities, J. Optim. Theory Appl. 38 (1982), 363-383. https://doi.org/10.1007/BF00935344
  4. P. T. Harkar and J. S. Pang, Finite dimensional variational inequality and nonlinear complementarity problems: A survey of theory algorithms and applications, Math. Pro- gram 48 B (1990), 161-220.
  5. N. J. Huang and J. Li, F-implicit complementarity problems in Banach spaces, ZAA 23(2) (2004), 293-302.
  6. H. Kneser, Sur un theoreme fondamantal de la theorie des Jeux, C.R. Acad. Sci. Paris 234 (1952), 2418-2420.
  7. B. S. Lee, M. Firdosh Khan and Salahuddin, Vector F-implicit complementarity prob- lems with corresponding variational inequality problem, Appl. Math. Lett. 20 (2007), 433-438. https://doi.org/10.1016/j.aml.2006.05.010
  8. J. Parida and A. Sen, A variational-like inequality for multifunctions with applications, J. Math. Anal. Appl. 124 (1987), 73-81. https://doi.org/10.1016/0022-247X(87)90025-4
  9. G. Stampacchia, Forms bilineaires sur les ensemble convexes, C. R. Acad. Sci. Paris 258 (1964), 4413-4416.
  10. J. C. Yao and J. S. Guo, Variational and generalized variational inequalities with dis- continuous mappings, J. Math. Anal. Appl. 182 (1994), 371-392. https://doi.org/10.1006/jmaa.1994.1092
  11. L. C. Zeng, Y. C. Lin and J. C. Yao, On weak and strong solutions of F-implicit generalized variational inequalities with appications, Appl. Math. Lett. 19 (2006), 684- 689. https://doi.org/10.1016/j.aml.2005.10.001