Solving inverse problems via hemicontractive maps

DOI10.1016/J.NA.2009.01.071zbMath1170.65045OpenAlexW1998210486MaRDI QIDQ923891

Ştefan M. Şoltuz

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.071

zbMATH Keywords

inverse problemsBanach spacehemicontractive maps

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution to inverse problems in abstract spaces (65J22) Applications of operator theory in numerical analysis (47N40)

Cites Work

• Inverse problems for ODEs using contraction maps and suboptimality of the  collage method
• Solving inverse problems for ordinary differential equations using the Picard contraction mapping
• Solving an inverse problem for Urison-type integral equations using Banach s fixed point theorem

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