Krasnoselskii-type fixed point theorems with applications to Hammerstein integral equations in L1 spaces
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Publication:2862558
DOI10.1002/mana.201200256zbMath1297.47062OpenAlexW2152211824MaRDI QIDQ2862558
Publication date: 15 November 2013
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201200256
measure of weak noncompactnessHammerstein equationKrasnoselskij fixed point theoremnonlinear alternative
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
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Cites Work
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- Fixed point theorems for 1-set weakly contractive and pseudocontractive operators on an unbounded domain
- Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
- New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations
- Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in \(L^1\) spaces
- Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
- Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
- Existence of fixed points and measures of weak noncompactness
- Fixed-point theory for weakly sequentially continuous mappings
- Krasnoselskii's fixed point theorem for weakly continuous maps.
- A topological and geometric approach to fixed points results for sum of operators and applications
- A fixed-point theorem of Krasnoselskii
- Existence theorems for \(m\)-accretive operators in Banach spaces
- Existence of fixed points for the sum of two operators
- Krasnoselskii-type fixed-point theorems for weakly sequentially continuous mappings
- Some problems of nonlinear analysis
- A Fixed Point Theorem of Krasnoselskii—Schaefer Type
- Weak convergence under nonlinearities