Existence, uniqueness and approximation of fixed points as a generic property
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Publication:4119690
DOI10.1007/BF02584769zbMath0349.47042MaRDI QIDQ4119690
Publication date: 1974
Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)
Related Items (15)
The uniqueness as a generic property for some one-dimensional segmentation problems ⋮ Most homeomorphisms of the circle are semiperiodic ⋮ Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ Generic Existence of a Solution for a Differential Equation in a Scale of Banach Spaces ⋮ Some generic properties in fixed point theory ⋮ On Peano's theorem in Banach spaces ⋮ Uniqueness and continuous dependence of the solutions for functional differential equations as a generic property ⋮ Some generic properties of functional differential equations in Banach spaces ⋮ Some problems on ordinary differential equations in Banach spaces ⋮ Generic properties of functional equations ⋮ Some generic properties of functional-differential equations of neutral type ⋮ Generic existence of a nonempty compact set of fixed points ⋮ Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings ⋮ A generic view on the theorems of Brouwer and Schauder ⋮ Generic properties of the homeomorphisms of \(S^ d\)
Cites Work
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- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Approximation of fixed points of compact mappings
- Structure of the fixed points sets of k-set-contractions
- The generic property of existence of solutions of differential equations in Banach space
- Punti uniti in trasformazioni a codominio non compatto
- Some remarks on the existence and uniqueness of solutions of the hyperbolic equation ∂²z/(∂x∂y)=f(x,y,x,∂z/∂x,∂z/∂y)
- Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
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