where dA is the normalized area measure in D. The case where α = 0 is known as the (unweighted) Bergman space, often simply denoted by A2. Let φ be an analytic map from the open unit disk D into itself. The operator that takes the analytic map f to f ◦ φ is a composition operator and is denoted by Cφ . A natural generalization of a composition operator is an operator that takes f to ψ · f ◦ φ, ...

Let φ be an automorphism of a free group F2 of rank 2 and let Mφ = F2 oφ Z be the corresponding mapping torus of φ. We prove that the group Out(Mφ) is usually virtually cyclic. Moreover, we classify the cases when this group is finite depending on the conjugacy class of the image of φ in GL2(Z).

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of D − orić and Lazović 2011 for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić 1974 . Existence of a common soluti...

A (projective) manifoldX of dimension 2n+1 together with a subbundle F ⊂ TX of rank 2n is a contact manifold if the pairing F × F → TX/F =: L defined by the Lie bracket is everywhere non-degenerate. An alternative description is as follows: there is a (sub-)line bundle L ⊂ ΩX such that the induced contact form θ ∈ H(X,ΩX⊗L) is non-degenerate in the sense that in local coordinates the form θ ∧ (...

To elucidate the mechanism of cyclic nucleotides, such as adenosine 3',5'-cyclic monophosphate (cAMP) and guanosine 3',5' -cyclic monophosphate (cGMP), in the regulation of human gastric motility, we examined the effects of forskolin (FSK), isoproterenol (ISO) and sodium nitroprusside (SNP) on the spontaneous, high K(+) and acetylcholine (ACh)-induced contractions of corporal circular smooth mu...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

A new potent vasodilator, nicardipine hydrochloride inhibited oxytocin-induced contraction of rat uterus dose-dependently with an increase in the intracellular cyclic AMP level at the onset of relaxation. Dibutyryl cyclic AMP and papaverine, an inhibitor of cyclic AMP phosphodiesterase (PDEase), also inhibited the contraction. Nicardipine inhibited competitively PDEase in homogenates of rat ute...