Adv. Stud. Contemp. Math. (Kyungshang) 23(2013), 107–158. LOWER SEMICONTINUITY
PROPERTIES OF RELATIONS IN RELATOR SPACES Arp Page 1 Adv. Stud. Contemp. Math …

Adv. Stud. Contemp. Math. (Kyungshang) 20(2010), 139–135. FOUNDATIONS OF THE
THEORY OF VECTOR RELATORS Arpád Száz Contents Page 1 Adv. Stud. Contemp. Math …

In this paper, we establish some basic properties of translation relations. A binary relation R
on an additively written groupoid X will be called a translation if x+ R (y)⊂ R (x+ y) holds for …

By using several auxiliary results on relations and their intersection convolutions, we give
some necessary and sufficient conditions in order that a certain additive partial selection …

We prove an extension of an additive selection theorem of Z. Gajda and R. Ger to closed-
valued, 2–sublinear relations of commutative semigroups to sequentially complete vector …

For any two relations F and G on one groupoid X to another Y comma we define.. open
parenthesis F plus G closing parenthesis open parenthesis x closing parenthesis= F open …

After some preparations, we show that the hypograph of a generalized infimum convolution
of extended real-valued functions coincides with the corresponding generalized intersection …

We show that a generalized form of the infimal convolution can be used to derive a
dominated, monotone and additive extension theorem from the corresponding sandwich …

In the first part of this paper, we provide several historical facts on the famous Hyers–Ulam
stability theorems, Hahn–Banach extension theorems, and their set-valued generalizations …

Abstract top Let X and Y be vector spaces over the same field K. Following the terminology
of Richard Arens [Pacific J. Math. 11 (1961), 9–23], a relation F of X into Y is called linear if λ …