Geodesic
Regular convergence of operators and the approximate solution of equations
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 16 (1979), pp. 5-53.

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The survey is devoted to different concepts of the convergence of linear and nonlinear operators (discrete, regular, compact, stable convergence, etc.). Attention is paid to the applications of these concepts to numerical analysis methods. 
@article{INTM_1979_16_a0,
     author = {G. M. Vainikko},
     title = {Regular convergence of operators and the approximate solution of equations},
     journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
     pages = {5--53},
     publisher = {mathdoc},
     volume = {16},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTM_1979_16_a0/}
}
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G. M. Vainikko. Regular convergence of operators and the approximate solution of equations. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Tome 16 (1979), pp. 5-53. http://geodesic.mathdoc.fr/item/INTM_1979_16_a0/