Scanner errors include pixel interval error,horizontal-to-vertical proportion error and starting position error.

Inserting some points into a principal control network of mining area is usually adoptedto establish the special mine control net for large scale holing through survey，in which theerrors of the principal control points，that is，initial data errors，will influence their positionalprecision.

The mathematical model, allowing for the effect of initial data error on the control network, is set up.

Once the initial data error is bigger, its influence on the result of adjustment shall not be ignored.

By using the properties of the resolvent operator associated with H-monotone operator in Hilbert spaces,a new proximal point algorithm with errors is suggested for finding approximate solutions which converge strongly to the exact solution of generalized variational inclusions.

By using the properties of the resolvent operator associated with maximal η-monotone mappings in Hilbert space, we suggest a new proximal point algorithm with errors for finding approximate solutions which strongly converge to the exact solution of generalized nonlinear variational inclusions.