On some variations of multifunction continuity

A. Kanibir

Turkey

Hacettepe University

Department of Mathematics

Ivan L. Reilly

New Zealand

University of Auckland

Department of Mathematics
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Accepted: 2013-10-30

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DOI: https://doi.org/10.4995/agt.2008.1809
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Keywords:

Almost ℓ−continuity, K-almost c−continuity, Semi continuity, Super continuity, δ−continuity, Nearly continuity, Change of topology, Multifunction

Supporting agencies:

This research was not funded

Abstract:

This paper considers six classes of multifunctions between topological spaces, namely almost ℓ−continuous multifunctions, K-almost c−continuous multifunctions, nearly continuous multifunctions, almost nearly continuous multifunctions, super continuous multifunctions, and δ−continuous multifunctions. We relate these classes of multifunctions to others, and provide characterizations of related concepts especially in terms of appropriate changes of topology.

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