Regularization methods of finding fixed-point of extremal mappings (Q1841313)

Many problems of analysis, mathematical economy, operations research and computer mathematics are reduced to a fixed-point problem. But the problem of finding fixed-points of extremal mappings is unstable in relation to perturbations of the initial values. Therefore methods of regularization of the fixed-point of extremal mappings are necessary. Some generalizations of the known method -- stabilization method, quasi-solution method and others -- are presented in the article.