One generalized variational inequality involving relaxed Lipschitz and relaxed monotone operators
Xing Zhi-dong · Journal of Anhui University · 2008
We used the nature of relaxed operator and monotone operator,first gave the unique nature of the relaxed Lipschitz operator and relaxed monotone operator.Then extended some equivalent conclusions of nonlinear equations and variational inequalities to the generalized variational inequalities,then used these conclusions,we gave an iterative algorithm for generalized variational ineqality involving relaxed Lipschitz and relaxed monotone operators.In the end,we proved the feasibility of the algorithm.