International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 597-604

Generalized strongly set-valued nonlinear complementarity problems

Nan-Jing Huang1 and Yeol Je Cho2

1Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
2Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

Received 7 October 1997

Copyright © 1999 Nan-Jing Huang and Yeol Je Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, we introduce a new class of generalized strongly set-valued nonlinear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this kind of nonlinear complementarity problems and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results in this field.