On statistical graph and pointwise convergence of sequences of set-valued functions defined on intuitionistic fuzzy normed spaces

The concepts of graphical limits and pointwise limits of a sequence of set-valued functions defined from one metric space to another were studied by Jean-Pierre Aubin and Helene Frankowska. This research article proposes the concepts of statistical graphical limits and pointwise limits of the sequen...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2023-05, Vol.27 (10), p.6069-6084
Hauptverfasser: Khan, Vakeel A., Rahaman, S. K. Ashadul, Hazarika, Bipan
Format: Artikel
Sprache:eng
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Zusammenfassung:The concepts of graphical limits and pointwise limits of a sequence of set-valued functions defined from one metric space to another were studied by Jean-Pierre Aubin and Helene Frankowska. This research article proposes the concepts of statistical graphical limits and pointwise limits of the sequences of set-valued functions defined from an intuitionistic fuzzy normed space to another. The article further advances into the introductions of statistical graph convergence and statistical pointwise convergence of these sequences with ample examples in support of the definitions. Further, we investigate the correspondence between these two convergences and prove some related theorems.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-023-07903-9