T h e present study was carr ied out to invest igate differences in the immuno¬ antigenici ty of 8 P. brasiliensis isolates f r o m 3 endemic areas (Botucatu : Pb 1, 2 and 3; S ã o Pau lo : P b 18, 192 and 265; Venezuela : P b 9 and 7 3 ) . T h e antigenic react ivi ty of each isolate in the indirect fluorescent test ( I I ) and in the immunodiffusion test ( I D ) w a s studied using a panel of...

Let K be a subset of a real normed linear space E and let T be a self-mapping on K . T is said to be nonexpansive provided ‖Tx−Ty‖ ‖x− y‖ for all x, y ∈ K . Fixed-point iteration process for nonexpansive mappings in Banach spaces including Mann and Ishikawa iteration processes has been studied extensively by many authors to solve the nonlinear operator equations in Hilbert spaces and Banach spa...

D e m o n s t r a t i o n b y Heidelberger et al. (8, 10) of the a n t i t u m o r activity" of 5-fluorouracil aga ins t a wide range of exper imenta l a n i m a l neop lasms has p rov ided the s t imulus for fur ther inves t iga t ions to de t e rmine the therapeu t ic potent ia l i t ies of this agent. T h e clinical reports of m a r k e d toxic i ty on one h a n d (7) a n d signif icant an t...

for all x, y ∈ X . Then there exists a unique fixed point x0 ∈ X of T . This theorem, called the Banach contraction principle, is a forceful tool in nonlinear analysis. This principle has many applications and is extended by several authors: Caristi [2], Edelstein [5], Ekeland [6, 7], Meir and Keeler [14], Nadler [15], and others. These theorems are also extended; see [4, 9, 10, 13, 23, 25, 26,...

Development of yeast artificial chromosome (Y AC) vectors, molecular cloning of large segments of chromosomal DNA, and their propagation in yeast cells has become feasible. Overlapping Y AC provides a route to the development of physical maps of entire mammalian chromosomes. A rapid method was developed to isolate and sequence termini of Y AC inserts quickly. The Y AC clone is digested wit...

Proof. The first statement is obvious since every intersection of closed sets is closed and every intersection of convex sets is convex. For the second statement, let C = coA. first note that coA ⊂ coA since coA is convex and contains A. Thus C ⊂ coA since coA is closed. On the other hand, if we knew that C were convex then it would be a closed convex set containing A, hence would contain coA, ...

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