Some Topological Properties Of The Set Of Filter Cluster Functions

Keywords

F-cluster function; F-exhaustiveness; F-limit function; F-α-convergence; Limit function

Abstract

In Albayrak & Pehlivan (2013), we generalized the concepts of pointwise convergence, uniform convergence and α-convergence for sequences of functions on metric spaces by using the filters on N. In this work, we define the concepts of limit function, F-limit function and F-cluster function respectively for each of these three types of convergence, where F is a filter on N. We investigate some topological properties of the sets of F-pointwise cluster functions, F-α-cluster functions and F-uniform cluster functions by using pointwise and uniform convergence topologies.

Publication Date

1-1-2016

Publication Title

Kuwait Journal of Science

Volume

43

Issue

3

Number of Pages

78-85

Document Type

Article

Personal Identifier

scopus

Socpus ID

84981215661 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84981215661

This document is currently not available here.

Share

COinS