The paper defines, with the help of generalized topologies and generalized neighbourhood
systems, two kinds of generalized continuity, by giving in this way a general form to various …

On Contra-Precontinuous Functions Page 1 BULLETIN of the Bull. Malaysian Math. Sc. Soc.
(Second Series) 25 (2002) 115-128 MALAYSIAN MATHEMATICAL SCIENCES SOCIETY …

We introduce a new class of functions called strongly θ-b-continuous function which is a
generalization of both strongly θ-precontinuous functions [16] and strongly θ …

In this paper, we present and study almost contra-precontinuity as a new generalization of
regular set-connectedness, contra-precontinuity, contra-continuity, almost s-continuity and …

Summary Noiri in 1984, Dontchev, Ganster and Reilly in recent years and Reilly and
Vamanamurthy in 1983 introduced the notion of perfectly continuous, regular set-connected …

Joseph and Kwack [Proc. Amer. Math. Soc. 80 (1980) 341–348] introduced the notion of (θ,
s)-continuous functions in order to investigate S-closed spaces due to Thompson [Proc …

The notions of almost somewhat near continuity of functions and near regularity of spaces
are introduced. Some properties of almost somewhat nearly continuous functions and their …

The purpose of this paper is to introduce the concepts of β (τ1, τ2)‐continuous multifunctions
and almost β (τ1, τ2)‐continuous multifunctions. Moreover, some characterizations of β (τ1 …

A subset A of a topological space is said to be β-open [1] if A⊂ Cl (Int (Cl (A))). A function f:
X→ Y is said to be almost β-continuous [18] if for each point x∈ X and each open …

In this paper, we introduce the concept of an operation γ on a family of β-open sets denoted
by βO (X) in a topological space (X, τ). Using the operation γ on βO (X), we introduce the …