In this paper we prove some existence theorems concerning the solutions and integral solution for functional (delay) evolution equations with nonconvex lower semicontinuous multivalued perturbations ,

We show that a theorem of Shchepin and Repovš concerning the smoothness of compacta follows from the theory of semicontinuous relations.

We show that, under mild conditions, the (normalized) Frobenius splitting numbers of a local ring of prime characteristic are lower semicontinuous.

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...