On certain observations on split continuity and cauchy split continuity
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Pratulananda Das
Abstract
In this paper, we study a weaker form of continuity known as split continuous function which was introduced in [Beer et al.: Split Continuity, J. Math. Anal. Appl. 474 (2019), 833–851]. In the first section, we emphasize the pointwise convergence of split continuous functions and characterize the pointwise limit of a sequence of split continuous functions. In the last section, we investigate Cauchy split continuous functions and their related properties.
(Communicated by L’ubica Holá)
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Articles in the same Issue
- Weak differences, weak BCK-algebras and applications to some partial orders on rings
- Weakly κ-compact topological spaces
- On sharp radius estimates for S*(β) and a product function
- Maximal subextension and stability in m-capacity of maximal subextension of m-subharmonic functions with given boundary values
- Asymptotic behavior of fractional super-linear differential equations
- New and improved oscillation criteria of third-order half-linear delay differential equations via canonical transform
- Global dynamics of the system of difference equations
- Results on oscillatory properties of third-order functional difference equations with semi-canonical operators
- A new approach to metrical fixed point theorems
- Generalized Baker’s result and stability of functional equations using fixed point results
- Characterizations of ℕ-compactness and realcompactness via ultrafilters in the absence of the axiom of choice
- K-theory of oriented flag manifolds
- On certain observations on split continuity and cauchy split continuity
- On the generalized eta- and theta-transformation formulas as the Hecke modular relation
- On some selective star Lindelöf-type properties
