An Improved Self-adaptive Projection Method for a Form of Generalized Implicit Complementarity Problem

Complementarity problem is a cross research field in operations research and computational mathematics.It has extensive applications in mechanics,engineering,economics,transportation and many other practical departments.It is a very hot research topic in mathematical planning.In this paper we study a class of generalized implicit complementarity problems,give an Improved Selfadaptive Projection method for variational inequality algorithm.The Self-adaptive Projection method is used to solve implicit complementarity problems.The improved Self-adaptive Projection method is built for generalized implicit complementarity problem and porves its convergence with pseudomonotone function.Theremore,we study the step size correction and the parameters.