In this paper, a new class of multifunctions, called generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions are obtained. The relationships between generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions and some known concepts are also di...

Our main purpose is to introduce the concepts of upper and lower almost contra- (Λ, sp)-continuous multifunctions. Moreover, several characterizations contra-(Λ, multifunctions are investigated

In this paper, we introduce and study a new class of multifunctions called faintly δ-β-continuous multifunctions in topological spaces.

We introduce a new class of multifunctions called a slightly m-continuous multifunction which is a generalization of both slightly continuous functions [10] andm-continuous multifunctions [33]. In this paper we obtain several properties of such a multifunction.

By using m-open multifunctions from a topological space into an m-space, we establish the unified theory for several weak forms of open multifunctions in the sense of Kuratowski between bitopological spaces.

We introduce a new class of multifunctions called a slightly m-continuous multifunction which is a generalization of both slightly continuous functions [10] and m-continuous multifunctions [33]. In this paper we obtain several properties of such a multifunction.

We introduce β-generalized weak contractive multifunctions and give some results about endpoints of the multifunctions. Also, we give some results about role of a point in the existence of endpoints.

We consider whether the “inequality-splitting” property established in the Brøndsted– Rockafellar theorem for the subdifferential of a proper convex lower semicontinuous function on a Banach space has an analog for arbitrary maximal monotone multifunctions. We introduce the maximal monotone multifunctions of type (ED), for which an “inequality-splitting” property does hold. These multifunctions...

In this paper we present some properties of set-norm exhaustive set multifunctions and also of atoms and pseudo-atoms of set multifunctions taking values in the family of non-empty subsets of a commutative semigroup with unity.