and Applied Analysis 3 space X is embedded compactly in space Y and “X ↪→ Y ′′ denote that space X is embedded continuously in space Y. A mapping T : D T X → X∗ is said to be hemicontinuous on X if w − limt→ 0T x ty Tx, for any x, y ∈ X. Let J denote the duality mapping from X into 2 ∗ defined by J x { f ∈ X∗ : (x, f) ‖x‖ · ∥∥f∥∥,∥∥f∥∥ ‖x‖}, x ∈ X, 1.5 where ·, · denotes the generalized duality...

and Applied Analysis 3 (ii) The scalar C-pseudomonotonicity in Definition 2 is weaker than C-pseudomonotonicity in Definition 1(ii). In fact, for any ξ ∈ C∗ \ {0}, x, y ∈ X, if ⟨ξ(u∗), y − x⟩ ≥ 0, then we have ⟨u∗, y − x⟩ ∉ − intC. Then, it follows from the Cpseudomonotonicity of T that ⟨V∗, y − x⟩ ∈ C, which implies that ⟨ξ(V∗), y − x⟩ ≥ 0. Definition 5. The topological space E is said to be c...

a 1993 result of j. llibre, and m. misiurewicz, (theorem a [5]), states that if a continuous map f of a graph into itself has an s-horseshoe, then the topological entropy of f is greater than or equal to logs, that is h( f ) ? logs. also a 1980 result of l.s. block, j. guckenheimer, m. misiurewicz and l.s. young (lemma 1.5 [3]) states that if g is an a-graph of f then h(g) ? h( f ). in this pap...

background: the effective therapeutic dose of pralidoxime methylsulphate for organophosphate (op) poisoning is necessary to be clarified. this study was designed to comparatively assess the blood level of pralidoxime (bpl) and clinical outcomes in op poisoned patients treated with intermittent dosing and patients treated with continuous infusion. methods: this was a prospective, open labelled, ...

We use Baire categorical arguments to construct dramatically pathological locally Lipschitz functions. The origins of this approach can be traced back to Banach and Mazurkiewicz (1931) who independently used similar categorical arguments to show that \almost every continuous real-valued function deened on 0,1] is nowhere diierentiable". As with the results of Banach and Mazurkiewicz, it appears...

Music is a g rea t zeal of t h e h u m a n spir i t . I t is a n i n s a t i a t e n e e d a n d a powerful ons l augh t t o w a r d perfect ion. I t revea ls spon taneous ly m o s t che r i shed t h o u g h t s a n d feelings. T h a t is why , t h e g rea t m a n of med ic ine a n d r e n o w n e d m u s i c i a n , Dr. Alber t Schwe i t ze r def ined : « Mus i c is a tool of t h e noble spir ...

Let $G=(V(G),E(G))$ be a simple, finite and undirected graph of order $n$. A $k$-vertex weightings of a graph $G$ is a mapping $w: V(G) to {1, ldots, k}$. A $k$-vertex weighting induces an edge labeling $f_w: E(G) to N$ such that $f_w(uv)=w(u)+w(v)$. Such a labeling is called an {it edge-coloring k-vertex weightings} if $f_{w}(e)not= f_{w}(echr(chr(chr('39')39chr('39'))39chr(chr('39')39chr('39'...