Cauchy Sequences in Semimetric Spaces

DOI10.2307/2038192zbMath0233.54015OpenAlexW4237892209MaRDI QIDQ5641768

Dennis K. Burke

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038192

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Semimetric spaces (54E25)

Related Items (15)

No dense metrizable \(G_\delta\)-subspaces in butterfly semi-metrizable Baire spaces ⋮ Common fixed points of nonlinear hybrid mappings under strict contractions in semi-metric spaces ⋮ On extended, and extended rectangular, Menger probabilistic \(b\)-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations ⋮ Some nonunique common fixed point theorems in symmetric spaces through \(\text{CLR}_{(S, T)}\) property ⋮ Cauchy Conditions on Symmetrics ⋮ Hybrid fixed point theorems in symmetric spaces via common limit range property ⋮ Some common fixed point theorems for a pair of tangential mappings in symmetric spaces ⋮ Fixed points of set-valued Caristi-type mappings on semi-metric spaces via partial order relations ⋮ On weak-open π-images of metric spaces ⋮ A Note on $$\aleph$$ -Spaces and g-Metrizable Spaces ⋮ Mappings on weak Cauchy \(sn\)-symmetric spaces ⋮ Metrizability of decomposition spaces of metric spaces ⋮ Hutchinson's theorem in semimetric spaces ⋮ Strict common fixed points of nonlinear mappings via δ-distances and an application ⋮ Quotient compact images of metric spaces, and related matters

Cites Work

• A relation between perfect separability, completeness, and normality in semi-metric spaces
• Semi-developable spaces and quotient images of metric spaces
• MAPPINGS AND SPACES
• A Regular Semi-Metric Space for which There is no Semi-Metric Under which all Spheres are Open
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