COMPLETELY GENERALIZED STRONGLY NONLINEAR QUASI-COMPLEMENTARITY PROBLEMS IN HILBERT-SPACES

In this paper, we introduce and study a class of completely generalized strongly nonlinear quasi-complementarity problems and construct a new iterative algorithm, which includes many existing algorithms as special cases for solving the complementarity problems. We prove the existence of solutions for this class of quasi-complementarity problems and the convergence of iterative sequences generated by this algorithm. (C) 1995 Academic Press, Inc.