A nonstandard approach to asymptotic fixed point theorems
From MaRDI portal
Publication:2680373
DOI10.1007/s11784-022-01028-6OpenAlexW4312110003WikidataQ122225216 ScholiaQ122225216MaRDI QIDQ2680373
Publication date: 29 December 2022
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-022-01028-6
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Nonstandard models in mathematics (03H05) Nonstandard topology (54J05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on asymptotic pointwise weaker Meir-Keeler-type contractions
- A quantitative version of Kirk's fixed point theorem for asymptotic contractions
- On asymptotic pointwise contractions in metric spaces
- A rate of convergence for asymptotic contractions
- On fixed-point sets of nonexpansive mappings in nonstandard hulls and Banach space ultrapowers
- Three fixed point theorems for generalized contractions with constants in complete metric spaces
- Asymptotic pointwise contractions
- A convergence theorem for asymptotic contractions
- Nonstandard methods in fixed point theory
- An iff fixed point criterion for continuous self-mappings on a complete metric space
- Loeb measures in practice: Recent advances. EMS lectures 1997
- On a problem of common approximate fixed points
- Fixed points of asymptotic contractions
- Extensions and applications of ACF mappings
- A note on a paper of I. D. Aranđelović on asymptotic contractions
- A note on asymptotic contractions
- Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
- A definitive result on asymptotic contractions
- Topologies for function spaces
- Regions in the nonstandard plane that contain no standard points
- Logical aspects of rates of convergence in metric spaces
- Infinitesimals, Microsimplexes and Elementary Homology Theory
- Equivalent Cauchy sequences and contractive fixed points in metric spaces
- Nonstandard Topology on Function Spaces with Applications to Hyperspaces
- Fixed points in the nonstandard hull of a Banach space
- Hyper-extensions in metric fixed point theory
- Banach Contraction Principle and Its Generalizations
- Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
- On Nonlinear Contractions
- Neocompact sets and the fixed point property
