International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 597-604
doi:10.1155/S0161171299225975
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
Abstract
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.