Local Contractions in Metric Spaces
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Publication:4169915
DOI10.2307/2040922zbMath0388.54031OpenAlexW4241207579MaRDI QIDQ4169915
Publication date: 1978
Full work available at URL: https://doi.org/10.2307/2040922
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (14)
On fixed points of locally and pointwise contracting maps ⋮ On metric-preserving functions and fixed point theorems ⋮ Fixed points of a sequence of locally contractive multivalued maps ⋮ An auto-homeomorphism of a Cantor set with derivative zero everywhere ⋮ Connected \(\epsilon\)-chainable sets and existence results ⋮ Fixed points of multivalued \(({\alpha_*}-\phi)\)-contractions and metric transforms ⋮ Remarks on metric transforms and fixed-point theorems ⋮ Locally nonexpansive mappings in geodesic and length spaces ⋮ Fixed points of Edelstein-type multivalued maps ⋮ Locally weak version of the contraction mapping principle ⋮ Hyperbolic spaces and directional contractions ⋮ On fixed points of locally and pointwise contractive set-valued maps with an application to the existence of Nash equilibrium in games ⋮ The periodic points and the invariant set of an \(\varepsilon\)-contractive map ⋮ The Ran-Reurings fixed point theorem without partial order: a simple proof
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