In 2001, El-Monsef and Nasef have introduced γ-continuous multifunctions and in 2004, Park, Lee and Son have studied δ-precontinuous multifunctions. The purpose of this paper is to generalize some types of continuous multifunctions. In this paper, the notion of almost δ-precontinuous multifunctions is studied. Basic properties, characterizations and relationships of almost δ-precontinuous multi...

One of the important and basic topics in general topology and several branches of mathematics which have been researched by many authors is the continuity of functions. In this paper, we study (δ-pre, s)-continuous functions as a new weaker form of continuity. In 1996, Dontchev [3] introduced contra-continuous functions, and Jafari and Noiri [10] introduced contra-precontinuous functions (in 20...

In this paper, we introduce the concept of meet precontinuous posets, a generalization of meet continuous lattices to posets. The main results are: (1) A poset P is meet precontinuous iff its normal completion is a meet continuous lattice iff a certain system γ(P ) which is, in the case of complete lattices, the lattice of all Scott-closed sets is a complete Heyting algebra; (2) A poset P is pr...

In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are precontinu...

ABSTARCT: We define and characterize a fuzzy pairwise strongly pre-continuous mappings on a fuzzy bitopological space. We investigate some of their properties. We establish some equivalent conditions of fuzzy pairwise strongly precontinuous mappings on a fuzzy bitopological space.