The minimal displacement problem of DND-Lipschitzian mappings
DOI10.1007/s40590-023-00512-4OpenAlexW4377137237MaRDI QIDQ6168171
Publication date: 10 July 2023
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40590-023-00512-4
fixed points\(\alpha\)-dense curvesdegree of nondensifiabilityapproximated fixed pointsDND-Lipschitzian mappings
Numerical methods based on nonlinear programming (49M37) Lipschitz (Hölder) classes (26A16) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Operators on Banach spaces (47B01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Densifiable metric spaces
- Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
- Space-filling curves
- Characterization and generation of \(\alpha\)-dense curves
- Measures of noncompactness in metric fixed point theory
- Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
- On the minimal displacement problem of \(\gamma\)-Lipschitz maps and \(\gamma\)-Lipschitz retractions onto the sphere
- Set-contractions and ball-contractions in some classes of spaces
- The minimal displacement problem in the space \(l ^{\infty }\)
- Optimal approximate fixed point results in locally convex spaces
- Erratum to: Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure
- Projective limits of generalized scales of Banach spaces and applications
- Solvability of initial value problems with fractional order differential equations in Banach spaces by \(\alpha\)-dense curves
- A fixed point result in Banach algebras based on the degree of nondensifiability and applications to quadratic integral equations
- Construction of fixed points of demicompact mappings in Hilbert space
- On the minimal displacement of points under Lipschitzian mappings
- On some Banach space constants arising in nonlinear fixed point and eigenvalue theory
- A fixed point result for mappings on the \(\ell_\infty\)-sum of a closed and convex set based on the degree of nondensifiability
- Convex Sets with the Lipschitz Fixed Point Property are Compact
- A Note on the Measure of Solvability
- Existence of solutions for infinite systems of differential equations by densifiability techniques
- The minimal displacement problem in subspaces of the space of continuous functions of finite codimension
- A generalization of the (b,𝜃)-enriched contractions based on the degree of nondensifiability
- Fixed point free maps of a closed ball with small measures of noncompactness
This page was built for publication: The minimal displacement problem of DND-Lipschitzian mappings
