Geodesic
Generality of proof of theorems about iterative methods convergence
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 35-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two theorems are presented, which allow to omit the end of proofs of convergence theorems about fast-convergent iterative methods of solving of nonlinear operator equations in Banach spaces. 
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V. M. Verzhbitsky. Generality of proof of theorems about iterative methods convergence. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 35-38. http://geodesic.mathdoc.fr/item/IIMI_2002_2_a7/

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[2] Ulm S. Yu., “Ob iteratsionnykh metodakh s posledovatelnoi approksimatsiei obratnogo operatora”, Izv. AN ESSR. Fiz., matem., 16:4 (1967), 403–411 | MR

[3] Verzhbitskii V. M., “O skhodimosti posledovatelnostei elementov banakhovykh prostranstv k nulyam nelineinykh operatorov”, Vestn. Perm. gos. tekh. un-ta, 2002 (to appear)

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[5] Verzhbitskii V. M., Osnovy chislennykh metodov, Vyssh. shkola, M., 2002, 848 pp.