A note on convergence of sequences of functions
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DOI: 10.1016/j.topol.2019.107017
Abstract: Abstract In this paper new types of convergence of sequences of functions, called semi-α and semi uniform, are defined and studied. Also the notion of semi exhaustiveness is introduced. This new notion describes the relation… read more here.
Keywords: sequences functions; semi; convergence sequences; topology ... See more keywords
On the strong convergence of sequences of Halpern type in Hilbert spaces
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DOI: 10.1080/02331934.2018.1512108
Abstract: ABSTRACT In this paper, we introduce a concept of A-sequences of Halpern type where A is an averaging infinite matrix. If A is the identity matrix, this notion become the well-know sequence generated by Halpern's… read more here.
Keywords: convergence sequences; sequences halpern; halpern type; strong convergence ... See more keywords
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
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DOI: 10.1186/s13660-017-1294-2
Abstract: The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus. The definition of Wijsman lacunary strong… read more here.
Keywords: statistical convergence; lacunary statistical; convergence sequences; sequences sets ... See more keywords
Statistical convergence of sequences of sets in hyperspaces
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DOI: 10.15672/hjms.2017.482
Abstract: The concept of statistical convergence in an arbitrary topological space is nothing new, it is actually a self-evident concept that comes through the structure of that space. In this paper, by considering the well known… read more here.
Keywords: sets hyperspaces; statistical convergence; convergence sequences; sequences sets ... See more keywords