In this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $X$,  where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.

In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm,  such that $f + g $ attains its strong minimum on $X. $ This result extends some of the  well-known varitional principles as that of Ekeland [On the variational principle,  J. Ma...

Abstract. Let I ⊂ N be an infinite subset, and let {ai}i∈I be a sequence of nonzero real numbers indexed by I such that there exist positive constants m,C1 for which |ai| ≤ C1 · i for all i ∈ I. Furthermore, let ci ∈ [−1, 1] be defined by ci = ai C1·i for each i ∈ I, and suppose the ci’s are equidistributed in [−1, 1] with respect to a continuous, symmetric probability measure μ. In this paper,...

Crystal growth from anhydrous hydrogen fluoride solutions of M2+ (M=Cu, Ag) and [AuF6]− gave M(AuF6)2 salts Ag). Similar attempts to prepare single crystals the corresponding nickel, zinc magnesium failed. The crystal structure Cu(AuF6)2 consists layers Cu2+ cations connected by anions, thus forming slabs. Only van der Waals interactions exist between adjacent Ag(AuF6)2 a three-dimensional fram...

the analysis of flow in water-distribution networks with several pumps by the content model may be turned into a non-convex optimization uncertain problem with multiple solutions. newton-based methods such as gga are not able to capture a global optimum in these situations. on the other hand, evolutionary methods designed to use the population of individuals may find a global solution even for ...