An alternative approach to ideal Wijsman convergence
Copyright policy )An alternative approach to ideal Wijsman convergence
Summary: The concept of Wijsman convergence of a sequence of sets was defined using the pointwise convergence of the sequence of distance functions. Based on this idea, in this article, a new type of set convergence is obtained by using the concept of ideal \(\alpha\)-convergence for the sequence of distance functions. Then it is shown that this new convergence is equivalent to the Wijsman convergence according to the specific choice of ideal.
sequences of sets, Wijsman convergence, equicontinuity, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), \(\alpha\)-convergence, \(\mathcal{I}\)-convergence, Ideal and statistical convergence
sequences of sets, Wijsman convergence, equicontinuity, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), \(\alpha\)-convergence, \(\mathcal{I}\)-convergence, Ideal and statistical convergence
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