We proved that a finite commuting Boyd-Wong type contractive family with equicontinuous words have the approximate common fixed point property. We also proved that given X Ă R, compact and convex subset, F : X Ñ X a compact-and-convex valued Lipschitz correspondence and g an isometry on X, then gF “ F g implies F admits a Lipschitz selection commuting with g.

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We deal with the general problem of scattering by open-arcs in two-dimensional space. We show that this problem can be solved by means of certain second-kind integral equations of the form Ñ S̃[φ] = f , where Ñ and S̃ are first-kind integral operators whose composition gives rise to a generalized Calderón formula of the form ÑS̃ = J̃τ 0 +K̃ in a weighted, periodized Sobolev space. (Here J̃τ 0 is a co...

La propagation des ondes Žlastiques est gŽnŽralement traitŽe sous quatre hypothses : Ð le milieu est isotrope, Ð le milieu est homogne, Ð il y a une relation biunivoque entre la tension et la dŽformation, Ð les tensions sont reliŽes dÕune faon linŽaire aux dŽformations (et de manire Žquivalente, les dŽformations sont reliŽes dÕune faon linŽaire aux tensions). En gŽnŽral au moins une de ces...

Suppose we are given a Noetherian, nonnegative graph acting trivially on a Galileo set A. Recent interest in topoi has centered on describing I-Borel arrows. We show that 1 ∞ ⊃ ∫ i−5 dκ. Every student is aware that Ñ is essentially generic and everywhere invariant. A central problem in higher number theory is the extension of primes.

We construct Peano curves γ : r0,8q Ñ R2 whose “footprints” γpr0, tsq, t ą 0, have C8 boundaries and are tangent to a common continuous line field on the punctured plane R2 r tγp0qu. Moreover, these boundaries can be taken C8-close to any prescribed smooth family of nested smooth Jordan curves contracting to a point.

Benincasa hispida Cogn. (Cucurbitaceae) commonly known as wax gourd (1) is an important ingredient of kushmanda lehyam, an Ayurvedic medicine widely used as rejuvenative agent (Rasayana) in treatment of epilepsy and other nervous disorders (2). In Ayurvedic system of medicine, Benincasa hispida fruits are used for treatment of schizophrenia and other psychologic disorders (3). Methanolic extrac...

This note proposes to modify the definition of quasiconvexity of a function f Úìm˜n r Ï ñ Ú ̈ ñ T −ðÙð( on the spaceìm˜n of m ˜ n matrices in such a way that (i) the polyconvexity implies quasiconvexity without any additional measurability or continuity assumption on f and (ii) the pointwise supremum of any family of quasiconvex functions is a quasiconvex function. Property (ii) allows one to de...

s /åJ“Ér [1], [2], [3]7Hë H̀¦&ñ o #Œ 6£§?/6 x̀¦ ê r . identification of cutting and pasting operation decomposition of human-written summary sentences development of an automatic system to perform cut and paste operation(sentence reduction, sentence combination, ...)