Random fixed point equations and inverse problems using ``collage method for contraction mappings
DOI10.1016/j.jmaa.2007.01.028zbMath1121.47048OpenAlexW2047011931MaRDI QIDQ996895
Herb E. Kunze, Davide La Torre, Edward R. Vrscay
Publication date: 19 July 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.028
inverse problemsrandom iterated function systemscollage theoremrandom integral equationsrandom fixed point equations
Fixed-point theorems (47H10) Random operators and equations (aspects of stochastic analysis) (60H25) Random nonlinear operators (47H40) Numerical solution to inverse problems in abstract spaces (65J22) Applications of operator theory in probability theory and statistics (47N30)
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Cites Work
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- Random fixed points and random differential inclusions
- Random integral equations
- A random fixed point theorem for a multivalued contraction mapping
- Random fixed point theorems with an application to random differential equations in Banach spaces
- Random fixed-point theorems and approximation in cones
- Random fixed point theory in spaces with two metrics
- Random fixed points of pseudo-contractive random operators
- Random fixed points of \(K\)-set- and pseudo-contractive random maps
- A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces
- Random equations
- Reducing random transforms
- Solution of an inverse problem for fractals and other sets
- Measurable relations
- Solving inverse problems for ordinary differential equations using the Picard contraction mapping
- Continuity of Attractors and Invariant Measures for Iterated Function Systems
- Some random approximations and random fixed point theorems for 1-set-contractive random operators
- Continuity properties of attractors for iterated fuzzy set systems
- Random Approximations and Random Fixed Point Theorems for Continuous 1-Set- Contractive Random Maps
- Solving the inverse problem for measures using iterated function systems: a new approach
- Random fixed points of set-valued maps
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