Journal of the Australian Mathematical Society

Research Article

Strict feasibility of generalized complementarity problems

Y. R. Hea1 and K. F. Nga2

a1 Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan, P. R., China, e-mail:

a2 Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, e-mail:


The existence of strictly feasible points is shown to be equivalent to the boundedness of solution sets of generalized complementarity problems with stably pseudomonotone mappings. This generalizes some known results in the literature established for complementarity problems with monotone mappings.

(Received November 17 2004)

(Revised February 15 2005)

2000 Mathematics subject classification

  • primary 90C33;
  • 49J40

Keywords and phrases

  • generalized complementarity problem;
  • stably pseudomonotone mapping;
  • strict feasibility;
  • upper hemicontinuous set-valued mapping.