On m-I-Continuous Multifunctions

Authors

  • Takashi Noiri
  • Valeriu Popa

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4207

Keywords:

minimal structure, ideal topological space, m-I-open, m-Icontinuous, mi⋆ -continuous, multifunction.

Abstract

Let mIO(X) be the family of ⋆-open (resp. α-I-open, pre-I-open, semi-I-open, β-I-open, etc.) sets in an ideal topological space (X, τ, I). By using mIO(X), we introduce and investigate the notions of an m-I-continuous multifunction F : (X, τ, I) → (Y, σ) and mi⋆ -continuous multifunction F : (X, τ, I) → (Y, σ, J). The notion of mi⋆ -continuity is a generalization of m-I-continuity and i⋆-continuity [9].

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

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How to Cite

On m-I-Continuous Multifunctions. (2022). European Journal of Pure and Applied Mathematics, 15(1), 1-14. https://doi.org/10.29020/nybg.ejpam.v15i1.4207