International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 2, Pages 319-334
doi:10.1155/S0161171288000389

Convergence analysis of the iterative methods for quasi-complementarity problems

Abstract

In this paper, we consider the iterative methods for the quasi complementarity problems of the formu−m(u)≥0,   T(u)≥0,   (u−m(u),T(u))=0,where m is a point-to-point mapping and T is a continuous mapping from Rn into itself. The algorithms considered in this paper are general and unified ones, which include many existing algorithms as special cases for solving the complementarity problems.