A new class of multifunctions, called upper lower βμ X , μ Y-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper lower βμ X , μ Y-continuous multifunctions are obtained. The relationships between upper lower βμ X , μ Y-continuous multifunctions and some known concepts are also discussed.

This paper is deals with the concept of weakly (Λ, sp)-continuous multifunctions. In particular, some characterizations multifunctions are investigated.

This paper deals with the concepts of upper and lower almost (Λ, sp)-continuous multifunctions. Moreover, several characterizations multifunctions are investigated.

Our main purpose is to introduce the concepts of upper and lower weakly (Λ, sp)- continuous multifunctions. In particular, some characterizations multifunctions are investigated.

In this paper, we present different types of continuous set multifunctions with respect to a set norm (such as uniformly autocontinuous or autocontinuous from above), their relationships with non-additive set multifunctions and some properties of atoms and pseudo-atoms for null-null-additive set multifunctions.

We present some results concerning pointwise measurability of multifunctions and some relationships with global measurability of multifunctions.

The metric subregularity of multifunctions is a key notion in Variational Analysis and Optimization. In this paper, we establish firstly a cretirion for metric subregularity of multifunctions between metric spaces, by using the strong slope. Next, we use a combination of abstract coderivatives and contingent derivatives to derive verifiable first order conditions ensuring the metric subregulari...

In this paper, we focuse on different important properties in fuzzy (set-valued) measure theory, such as, non-atomicity, diffusion, regularity, order continuity, exhaustivity, countable subadditivity, increasing/decreasing convergence, semi-convexity, Darboux property for different types of set multifunctions defined on a ring of subsets of an abstract, nonvoid space and taking values in the fa...

This paper deals with the concepts of upper and lower weakly α(Λ, sp)-continuous multifunctions. Moreover, several characterizations multifunctions are established.