On the approximation of solutions of compact operator equations
DOI:
https://doi.org/10.22199/S07160917.1988.0014.00002Keywords:
ollectively compact, Banach space, quadratic operatorAbstract
We approximate in isolated solution of a compact operator equations using the solutions of a family of collectively compact operator equations.References
[1] Anselone, P. M., Collectively Compact Operator Approximation Theory, Prentice-Hall, Englewood Cliffs, N. J., 1971.
[2] Argyros, I. K., Quadratic equations and applications to Chandrase- khar's and related equations., Bull. Austral. Math Soc., Vol. 32 (1985) 275-292.
[3]_____. On a contraction theorem and applications. Proceedings of Symposium in Pure Math., A.M.S., Vol. 45, 1(1986), 51-53.
[4] Atkinson, K. E., The numerical evaluation of fixed points for completely continuous operators. SIAM J. Num. Anal. 10(1973), 799-807.
[5] Halmos, P., Finite dimensional vector spaces. D. Van. Nostrand. 1958.
[6] Kelly , C. T. , Approximation of solutions of some quadratic integral equations in Transport theory, J. Integ. Eq. 4, (1982), 221-237.
[7] Krasnoleskii, M. A., Topological Methods in the theory of Nonlinear integral equations, McMillan, N. Y., 1964.
[8] Moore, R. H., Approximation to Nonlinear operator equations and Newton's method. Numer. Math. 12 (1968), 23-29.
[9] Rall , L.B., Computational solutions of nonlinear operator equations, Pergamon Press, 1978.
[2] Argyros, I. K., Quadratic equations and applications to Chandrase- khar's and related equations., Bull. Austral. Math Soc., Vol. 32 (1985) 275-292.
[3]_____. On a contraction theorem and applications. Proceedings of Symposium in Pure Math., A.M.S., Vol. 45, 1(1986), 51-53.
[4] Atkinson, K. E., The numerical evaluation of fixed points for completely continuous operators. SIAM J. Num. Anal. 10(1973), 799-807.
[5] Halmos, P., Finite dimensional vector spaces. D. Van. Nostrand. 1958.
[6] Kelly , C. T. , Approximation of solutions of some quadratic integral equations in Transport theory, J. Integ. Eq. 4, (1982), 221-237.
[7] Krasnoleskii, M. A., Topological Methods in the theory of Nonlinear integral equations, McMillan, N. Y., 1964.
[8] Moore, R. H., Approximation to Nonlinear operator equations and Newton's method. Numer. Math. 12 (1968), 23-29.
[9] Rall , L.B., Computational solutions of nonlinear operator equations, Pergamon Press, 1978.
Published
2018-03-28
How to Cite
[1]
I. K. Argyros, “On the approximation of solutions of compact operator equations”, Proyecciones (Antofagasta, On line), vol. 7, no. 14, pp. 29-46, Mar. 2018.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.