We present new fixed point theorems for inward and weakly inward Urysohn type maps. Also we discuss Mönch Kakutani and contractive type maps.

For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. Th...

Weakly harmonic maps from a domain Ω⊂Rd, d≥2 (the upper half-space R+d or bounded C1,α domain, α∈(0,1]) into smooth closed manifold are studied. Prescribing small Dirichlet data in either of the classes L∞(∂Ω) BMO(∂Ω), we establish solvability resulting boundary value problems by means nonvariational method. As by-product, solutions shown to be locally smooth, Cloc∞. Moreover, show that can cho...

Semantic blogging combines blogs with the Semantic Web for improved metadata. Our analysis of six semblogging approaches and systems reveals that all are RDF-based, suffer from not using Published Subjects as proxies for subjects, and do not employ semantic relations motivated by knowledge organization. In contrast, we introduce and discuss semblog-tm, a prototype of a Topic Mapsand PSI-based s...

The potential energy surfaces of several alpha-(1-->3)- and beta-(1-->4)-linked disaccharides were obtained and plotted in terms of energy versus psi glycosidic angle. These plots were compared to those obtained previously in the way of the usual 3D contour maps, which relate the energy with the two glycosidic angles (phi and psi). Given the usually small variations of the phi angle in the low-...