Inverse problems via generalized contractive type operators
DOI:
https://doi.org/10.33993/jnaat392-1036Keywords:
generalized contractive type operatorsAbstract
We prove a "collage'' theorem for a generalized contractive type operators.Downloads
References
M.F. Barnsley, Fractals everywhere, New York, Academic Press, 1988.
H.E. Kunze and E.R. Vrscay, Solving inverse problems for ordinary differential equations using the Picard contraction mapping, Inverse Problems, 15, pp. 745-770, 1999, https://doi.org/10.1088/0266-5611/15/3/308 DOI: https://doi.org/10.1088/0266-5611/15/3/308
H.E. Kunze and S. Gomes, Solving an inverse problem for Urison-type integral equations using Banach's fixed point theorem, Inverse Problems, 19, pp. 411-418, 2003, https://doi.org/10.1088/0266-5611/19/2/310 DOI: https://doi.org/10.1088/0266-5611/19/2/310
H.E. Kunze, J.E. Hicken and E.R. Vrscay, Inverse problems for ODEs using contraction maps and suboptimality for the 'collage method', Inverse Problems, 20, pp. 977-991, 2004, https://doi.org/10.1088/0266-5611/20/3/019 DOI: https://doi.org/10.1088/0266-5611/20/3/019
Ş.M. Şoltuz, Solving inverse problems via hemicontractive maps, Nonlinear Analysis, textbf71, pp. 2387-2390, 2009, https://doi.org/10.1016/j.na.2009.01.071 DOI: https://doi.org/10.1016/j.na.2009.01.071
Ş.M. Şoltuz, Solving inverse problems via weak-contractive maps, Rev. Anal. Numer. Theor. Approx., 37, no. 2, pp. 217-220, 2008.
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
This work is licensed under a Creative Commons Attribution 4.0 International License.
Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.