A PRP type method for systems of monotone equations

Inthispaper,weproposeanalgorithmforsolvingsystemsofmonotoneequations.Themethodisacombinationofthewell-knownPRPmethodandthehyperplaneprojectionmethod.WeprovethattheproposedmethodisgloballyconvergentiftheequationismonotoneandLipschitzcontinuouswithoutanydifferentiabilityrequirementonth