Madhu Ram

This article is a follow-up of the work done in the papers [10] and [56], where, along with various results on ℐ-convergence, several properties of ℐ-open sets and ℐ-continuous functions were investigated. In this paper, we investigate some properties of ℐ-boundary points of a set in a topological space. We make some observations on ℐ-convergence in the product space. We consider the ideas of an ℐ-hyperconnected space and an ℐ-submaximal space and derive their basic properties.

This corrigendum provides a correction to the paper entitled “β−Menger and β−Hurewicz spaces”.

In this article, we give the corrected version of Theorem 3.5 and Theorem 3.7 (a) in [$\alpha-$Topological vector spaces, Hacet. J. Math. Stat. 47 (5), 1102-1107, 2018] by T. Al-Hawary.

Let (X, =) be a topological space. A subset A of X is called pre-open if A ⊆ Int(Cl(A)). Let P O(X) denote the family of all pre-open sets in X. In general, P O(X) does not form a topology on X. Furthermore, in topological vector spaces, it is not always true that P O(L) forms a topology on L where L is a topological vector space. In this note, we prove that the class of strongly preirresolute topological vector spaces is that subclass of topological vector spaces in which P O(L) forms a topology and thereby we see that all proved results in [5] concerning strongly preirresolute topological vector spaces are obvious.

In this corrigendum, we offer a correction to the paper {\it On fixed point results for a class of generalized mean nonexpansive mappings}, Methods Funct. Anal. Topology, 26 (2020), no. 4, 356-372.

Theorem 3.30 in the published paper [1] is not correct. A valid reasoning concerning this error is given.