Representation theorems for multifunctions and analytic sets

Some Representation Theorems for Partially Ordered Sets

Hahn-Banach extension theorems for multifunctions revisited

Several generalizations of the Hahn–Banach extension theorem to K-convex multifunctions were stated recently in the literature. In this note we provide an easy direct proof for the multifunction version of the Hahn–Banach–Kantorovich theorem and show that in a quite general situation it can be obtained from existing results. Then we derive the Yang extension theorem using a similar proof as wel...

Selection Theorems for G 5 - Valued Multifunctions

In this paper we establish under suitable conditions the existence of measurable selectors for Gs-valued multifunctions. In particular we prove that a measurable partition of a Polish space into G6 sets admits a Borel selector.

The Cut Sets, Decomposition Theorems and Representation Theorems on R̄-fuzzy Sets

In this paper, some kinds of cut sets for R̄-fuzzy sets are introduced and their properties are given. Moreover, the decomposition theorems and representation theorems on R̄-fuzzy sets are obtained based on different cut sets. Finally, the axiomatic definition of cut set for R̄-fuzzy set is introduced which characterizes the common properties of cut set.

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.