Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities

The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are considered. An example in the theory of generalized eigenvectors is given for illustration. Institute of Information Technology, Vietnam. Published in Ukrainskii Matematicheskii Zhunal, Vol. 49, No. 5, pp. 629–637, May, 1997.