On (μ1, μ2, μ3)-Weakly Generalized Closed Sets

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3758

Keywords:

Tri-generalized topological space, weakly generalized closed set

Abstract

This paper defines a new generalization of closed sets in a tri-generalized topological space called (μ1, μ2, μ3)-weakly generalized closed set (or briefly (μ1,μ2, μ3)-wg closed set) which is defined as follows: A subset A of X is (μ1, μ2, μ3)-weakly generalized closed set if clμ1(intμ2(A)) ⊆U whenever A ⊆ U and U is μ3-open in X. At least fifteen defined closed sets found in literature are considered special cases of (μ1, μ2, μ3)-weakly generalized closed set under some conditions. Furthermore, some properties of (μ1, μ2, μ3)-weakly generalized closed sets are obtained.

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Published

2020-10-31

Issue

Section

Nonlinear Analysis

How to Cite

On (μ1, μ2, μ3)-Weakly Generalized Closed Sets. (2020). European Journal of Pure and Applied Mathematics, 13(4), 977-986. https://doi.org/10.29020/nybg.ejpam.v13i4.3758