Let (X, d) be a nonempty metric space, and let (2X , Hd) be the hyperspace of all nonempty compact subsets of X with the Hausdorff metric. Let F :X → 2X be an ε-contractive map. A general condition is given that guarantees the existence of a periodic point of F (the theorem extends a result of Edelstein to multi-valued maps). The condition holds when X is compact; hence, F has a periodic point ...

Intermolecular interactions involving aromatic pi-electron density are widely believed to be governed by the aromatic molecular quadrupole moment, Theta(zz). Arene-cation binding is believed to occur primarily with negative Theta(zz) aromatics, and arene-anion binding is believed to occur largely with positive Theta(zz) aromatics. We have performed quantum mechanical computations that show the ...

Over a smooth complex projective curve C of genus g one may consider two types of moduli spaces of vector bundles, M := M(n, d), the moduli space of semistable bundles of rank n and degree d on C, and SM := SM(n, L), the moduli space of those bundles whose determinant is isomorphic to a fixed line bundle L on C. We call the former a full moduli space and the latter a fixed-determinant moduli sp...

In this article, we establish fixed point results by defining the concept of F-Khan contraction an orthogonal set modifying symmetry usual contractive conditions. We also provide illustrative examples to support our results. The derived have been applied find analytical solutions integral equations. are verified with numerical simulation.

Microsatellites are short tandem repeats that are widely dispersed among eukaryotic genomes. Many of them are highly polymorphic; they have been used widely in genetic studies. Statistical properties of all measures of genetic variation at microsatellites critically depend upon the composite parameter theta = 4Nmicro, where N is the effective population size and micro is mutation rate per locus...

An edge-labeling f of a graph G is an injection from E(G) to the set of integers. The edge-bandwidth of G is B 0 (G) = min f fB 0 (f)g, where B 0 (f) is the maximum diierence between labels of incident edges of G. The m-theta graph (l 1 ; : : : ; l m g is the graph consisting of m pairwise internally disjoint paths with common endpoints and lengths l 1 l m. We determine the edge-bandwidth of al...

Keywords: Stochastic differential delay equation (SDDE) Split-step theta scheme Stochastic linear theta scheme Strong convergence rate Exponential mean square stability a b s t r a c t This paper establishes the boundedness, convergence and stability of the two classes of theta schemes, namely split-step theta (SST) scheme and stochastic linear theta (SLT) scheme, for stochastic differential de...

Races of Rattus norvegicus labelled A and B give characteristic curves relating angle of orientation theta during geotropic progression to the inclination (alpha) of the surface. The orientation-angles for B are higher at every slope, and the threshold slope for orientation is lower in B. When these races are cross-bred, the F(1) progeny show a theta-alpha curve in general corresponding to that...

We present fixed point theorems for a nonexpansive mapping from a closed convex subset of a uniformly convex Banach space into itself under some asymptotic contraction assumptions. They generalize results valid for bounded convex sets or asymptotically compact sets. In this note we generalize a famous result by Browder [3], Göhde [6] and Kirk [8], recently extended by Luc in [14], by using the ...

It is an open problem whether a separating operator acting between semiprime f-algebras weighted composition operator. In this respect, we have been largely motivated by the recent paper (Abid et al. in Positivity 21:521–537, 2017) which give positive answer when f-algebra domain unital. general case, prove that if and only almost contractive. As consequence, generalizes improve some well-known...