Existence of solutions for a nonlinear integral equation via a hybrid fixed point theorem
From MaRDI portal
Publication:2410852
DOI10.1007/s00025-016-0552-9zbMath1458.47029OpenAlexW2338807015MaRDI QIDQ2410852
Marco Biondini, Tiziana Cardinali
Publication date: 19 October 2017
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-016-0552-9
measure of noncompactnessnonlinear integral equationcondensing multimaphybrid fixed point theoremMönch set
Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Set-valued operators (47H04) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items
Fixed point theory for countably weakly condensing maps and multimaps in non-separable Banach spaces, Fixed point-critical point hybrid theorems and application to systems with partial variational structure, Some remarks on fixed sets for perturbed multivalued mappings, Continuous selections and retractive representations for the fixed points sets of set valued Reich's contractions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hybrid nonlinear alternative theorem and some hybrid fixed point theorems for multimaps
- An application of the continuous selection theorem to the study of the fixed points of multivalued mappings
- Fixed point theorems for multifunctions in topological vector spaces
- Fixed-point theory for the sum of two operators
- On a fixed point theorem of Krasnosel'skii type and application to integral equations
- Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces
- Some problems of nonlinear analysis
- Michael Selection Theorem Under Weak Lower Semicontinuity Assumption
- A Fixed Point Theorem of Krasnoselskii—Schaefer Type
- Countably condensing multimaps and fixed points