The Set of Filter Cluster Functions

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FILOMAT, cilt.32, sa.9, ss.3057-3071, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 9
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1809057a
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.3057-3071


In this work, we are concerned with the concepts of F-alpha-convergence, F-pointwise convergence and F-uniform convergence for sequences of functions on metric spaces, where F is a filter on N. We define the concepts of F-limit function, F-cluster function and limit function respectively for each of these three types of convergence, and obtain some results about the sets of F-cluster and F-limit functions for sequences of functions on metric spaces. We use the concept of F-exhaustiveness to characterize the relations between these points.