@article{RSMUP_1998__100__211_0,
author = {De Pascale, Espedito and Zabrejko, Pjotr P.},
title = {New convergence criteria for the {Newton-Kantorovich} method and some applications to nonlinear integral equations},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {211--230},
year = {1998},
publisher = {Seminario Matematico of the University of Padua},
volume = {100},
mrnumber = {1675279},
zbl = {0923.65029},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1998__100__211_0/}
}
TY - JOUR AU - De Pascale, Espedito AU - Zabrejko, Pjotr P. TI - New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1998 SP - 211 EP - 230 VL - 100 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1998__100__211_0/ LA - en ID - RSMUP_1998__100__211_0 ER -
%0 Journal Article %A De Pascale, Espedito %A Zabrejko, Pjotr P. %T New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations %J Rendiconti del Seminario Matematico della Università di Padova %D 1998 %P 211-230 %V 100 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1998__100__211_0/ %G en %F RSMUP_1998__100__211_0
De Pascale, Espedito; Zabrejko, Pjotr P. New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 100 (1998), pp. 211-230. https://www.numdam.org/item/RSMUP_1998__100__211_0/
[1] - - - , New results on Newton-Kantorovich approximations with applications to nonlinear integral equations, Numer. Funct. Anal. and Optimiz., 18 (1997), pp. 1-17. | Zbl | MR
[2] - - , On the application of the Newton-Kantorovich method to nonlinear integral equations of Uryson type, Numer. Funct. Anal. Optim., 12 (1991), pp. 271-283. | Zbl | MR
[3] - P. P. ZABREJKO, Nonlinear Superposition Operators, Cambridge University Press, Cambridge (1990). | Zbl | MR
[4] - - , Some remarks on the Newton-Kantorovich method for nonlinear equations with Hölder continuous linearizations (in Russian), Izv. Akad. Nauk Beloruss., 3 (1993), pp. 22-26. | Zbl
[5] - R. S. PHILLIPS, Functional Analysis and Semigroups, Amer. Math. Soc. Coll. Publ., New York (1957). | Zbl | MR
[6] - , Functional Analysis, Pergamon Press, Oxford (1982). | Zbl | MR
[7] - , Convex Functions and OrLicz Spaces, Noordhoff (1981).
[8] - - - - , Approximate ,Sotutions of Operator Equations, Noordhoff, Groningen (1972).
[9] - - - , Integral Operators in Spaces of Summable Functions, Noordhoff, Leyden (1976).
[10] , Conditions for the convergence of the Netwon-Kantorovich method for nonlinear equations with Hölder linearizations nonlinearities (Russian), Dokl. Akad. Nauk BSSR, 38, No. 30 (1994), pp. 20-24. | Zbl | MR
[11] , On the convergence of L. V. Kantorovich's method of solution of functionaL equations and its applications (in Russian), Dokl. Akad. Nauk. SSSR, 70, No. 4 (1950), pp. 565-568. | MR
[12] , Linear Analysis, North-Holland Publ., Amsterdam (1953). | Zbl
[13] , Nonlinear Integral Operators (in Russian), Izd. Voron. Gos. Univ., Voronezh (1966).
[14] - , On the solvability of nonlinear Uryson integral equation (in Russian), Kach. Pribl. Methody Issled. Oper. Uravn., 3 (1978), pp. 61-73. | Zbl | MR
[15] - , The majorant method in the theory of Newton-Kantorovich approximations and the Pták estimates, Numer. Funct. Anal. Optim., 9 (1987), pp. 671-684. | Zbl | MR
[16] - , The Pták estimates in the Newton-Kantorovich method for operator equations (in Russian), Vestnik Akad. Nauk BSSR 3 (1989), pp. 8-13. | Zbl
[17] - , Estimating the rate of convergence of the Newton-Kantorovich method for equations with Holder linearizations (in Russian), Izv. Akad. Nauk BSSR, 2 (1991), pp. 8-14. | Zbl





