Abstract
We prove an existence and uniqueness theorem for solving the
operator equation
We prove an existence and uniqueness theorem for solving the
operator equation
V. Antony Vijesh and P. V. Subrahmanyam, “An extension of Newton's method,” in Proceedings of the International Conference on Analysis and Applications, pp. 120–126, Allied Publishers Pvt., New Delhi, 2004.
View at: Google ScholarJ. Appell, E. De Pascale, and P. P. Zabrejko, “On the application of the Newton-Kantorovich method to nonlinear integral equations of Uryson type,” Numerical Functional Analysis and Optimization, vol. 12, no. 3-4, pp. 271–283, 1991.
View at: Google Scholar | Zentralblatt MATH | MathSciNetI. K. Argyros, “On a theorem of L. V. Kantorovich concerning Newton's method,” Journal of Computational and Applied Mathematics, vol. 155, no. 2, pp. 223–230, 2003.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. B. Rall, Computational Solution of Nonlinear Operator Equations, John Wiley & Sons, New York, 1969.
View at: Zentralblatt MATH | MathSciNet