On \(G\)-continuity

DOI10.1016/j.camwa.2010.11.006zbMath1211.40002OpenAlexW1519042419MaRDI QIDQ534972

Hüseyin Çakalli

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.11.006

zbMATH Keywords

sequencessummabilityseries\(G\)-sequential continuitysequential closure

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Convergence and divergence of series and sequences (40A05)

Related Items (30)

\(\phi\)-statistically quasi Cauchy sequences ⋮ \(G\)-methods, \(G\)-sequential spaces and \(G\)-continuity in topological spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Variations on the strongly lacunary quasi Cauchy sequences ⋮ Abel statistical quasi Cauchy sequences ⋮ Sequentially Hausdorff and full sequentially Hausdorff spaces ⋮ On λ statistical upward compactness and continuity ⋮ Ideal quasi-Cauchy sequences ⋮ Unnamed Item ⋮ Lacunary statistically slowly oscillating continuity in abstract spaces ⋮ A variation on statistical ward continuity ⋮ A variation on \(N_\theta\) ward continuity ⋮ On $G$-quotient Mappings and Networks Defined by $G$-convergence ⋮ On \(\Delta \)-quasi-slowly oscillating sequences ⋮ Sequential definitions of connectedness ⋮ \(N_\theta\)-ward continuity ⋮ Unnamed Item ⋮ Statistical quasi-Cauchy sequences ⋮ Product methods and \(G\)-connectedness ⋮ Statistical ward continuity ⋮ New kinds of continuities ⋮ On downward half Cauchy sequences ⋮ On the uniqueness of \(\mathcal{I}\)-limits of sequences ⋮ Unnamed Item ⋮ Unnamed Item ⋮ SOME NEW TYPES OF CONTINUITY IN ASYMMETRIC METRIC SPACES ⋮ The G-connected property and G-topological groups ⋮ Beyond cauchy and quasi-Cauchy sequences ⋮ G-connectedness in topological groups with operations

Cites Work

• Sequential definitions of compactness
• Slowly oscillating continuity
• A criterion for \(A\)-statistical convergence
• Lacunary statistical convergence
• On \(A\)-continuity of real functions
• Lacunary statistical convergence in topological groups
• Sequential definitions of continuity for real functions.
• Statistical Limit Points
• The Integrability of Certain Functions and Related Summability Methods
• Summability-Preserving Functions
• A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE
• ON STATISTICAL CONVERGENCE
• Sequence spaces defined by a modulus
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• Statistical convergence in a locally convex space
• R-Type Summability Methods, Cauchy Criteria, P-Sets and Statistical Convergence
• Statistical cluster points and turnpike^*
• Statistical Cluster Points of Sequences in Finite Dimensional Spaces
• Sur la convergence statistique
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