Inverse problems via generalized contractive type operators

Authors

  • Ştefan M. Şoltuz Tiberiu Popoviciu Institute of Numerical Analysis

Keywords:

generalized contractive type operators

Abstract

We prove a "collage'' theorem for a generalized contractive type operators.

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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

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

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

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

Ş.M. Şoltuz, Solving inverse problems via weak-contractive maps, Rev. Anal. Numer. Theor. Approx., 37, no. 2, pp. 217-220, 2008.

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Published

2010-08-01

How to Cite

Şoltuz, Ştefan M. (2010). Inverse problems via generalized contractive type operators. Rev. Anal. Numér. Théor. Approx., 39(2), 164–168. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2010-vol39-no2-art8

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