In this article a local characterization theorem is given for closed sets in a linear topological space that have recession cones with nonempty interior. This theorem is then used to characterize the class of upper semicontinuous increasing functions defined on closed E% -recessional subsets of Ed.

In this paper, we introduce several concepts of tightness for a sequence of random variables taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in Rp and give some characterizations of their concepts. Also, counter-examples for the relationships between the concepts of tightness are given.

The existence of monotone solutions for a second-order functional differential inclusion is obtained in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the Fréchet subdifferential of a φ-convex function of order two.

Mean field type differential inclusions appear within the theory of mean control through convexification a right-hand side. We study case when side inclusion depends on state an agent and distribution agents in upper semicontinuous way. The main result paper is existence stability solution inclusion. Furthermore, we show that value function optimal problem initial parameter semicontinuously.

Abstract We introduce an upper semicontinuity condition concerning a not necessarily total preorder on topological space, namely strong , and in this way we extend to the nontotal case famous Rader’s theorem, which guarantees existence of semicontinuous order-preserving function for second countable space. show that theorem is generalizable if adopt weaker conditions already introduced literatu...

We consider communications through a Gaussian noise channel between an encoder and decoder which have subjective probabilistic models on the source distribution. Although they same cost function, induced expected costs are misaligned due to their prior mismatch, requires game-theoretic approach. two approaches: Nash setup, with no commitment, Stackelberg solution concept, where is committed giv...

In this paper, we introduce the concept of fuzzy almost strongly (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Šostak’s sense. The relationships among fuzzy strongly (r, s)-semicontinuous, fuzzy almost (r, s)continuous, fuzzy almost (r, s)-semicontinuous, and fuzzy almost strongly (r, s)-semicontinuous mappings are discussed. The characterization for the fuzzy alm...