Let φ and ψ be analytic self-maps of the open unit disk D . Using pseudo-hyperbolic distance ρ(φ ,ψ) , we characterize the boundedness and compactness of the differences of generalized composition operators (C φ −Ch ψ ) f (z) = ∫ z 0 [ f ′(φ(ξ ))g(ξ )− f ′(ψ(ξ ))h(ξ )]dξ , z ∈ D between two Bloch-type spaces on D . The results generalize the corresponding results on the single generalized compo...

n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.

We give an overview of known results on stability and instability in two problems: the Gel’fand inverse boundary value problem and the inverse scattering problem(3D). In particular, we present our new instability estimates, see [M. Isaev, Exponential instability in the Gel’fand inverse problem on the energy intervals, J. Inverse Ill-Posed Probl., Vol. 19(3), 2011, 453-473] and [M. Isaev, Expone...

Generalized matter couplings to four-dimensional supersymmetric sigma models on general Kähler manifolds are presented, preserving all holomorphic symmetries. Our generalization allows assignment of arbitrary U(1) charges to additional matter fermions, in all representations of (the holomorphic part of) the isometry group. This can be used to eliminate unwanted γ5 anomalies, in particular for t...

*Correspondence: [email protected] Department of Mathematics, Hashemite University, Zarqa, Jordan Abstract In this paper, we prove some quadruple coincidence and quadruple common fixed point theorems for F : X4 → X and g : X → X satisfying (φ –ψ ) contractions in partially ordered G-metric spaces. We illustrate our results based on an example of the main theorems. Also, we deduce quadruple coi...

The proof of Theorem 2 in the main body of the paper applies to the special case in which the covariance matrix of random vector (θ; θM ;u) is full rank. In this Online Appendix, we prove Theorem 2 for the general case, imposing only Assumptions 1 and 2L: Cov(v, θ|θM ) 6= 0 and V ar(u|θ, θM ) > 0. Proof of Theorem 2 (General Case) Before proceeding to the proof, we first prove the following lem...

Let φ : X → X be a map on an projective variety. It is known that whenever φ∗ : Pic(X) ⊗ R → Pic(X) ⊗ R has an eigenvalue α > 1, we can build a canonical measure, a canonical height and a canonical metric associated to φ. In the present work, we establish the following fact: if two commuting maps φ, ψ : X → X satisfy these conditions, for eigenvalues α and β and the same eigenvector L, then the...

and Applied Analysis 3 Proof. First we show thatN ̸ = 0. From (15) and (16), we rewrite J (φ, ψ) = 1 2 ( 󵄩󵄩󵄩󵄩φ 󵄩󵄩󵄩󵄩 2 E1 − ω 1 󵄩󵄩󵄩󵄩φ 󵄩󵄩󵄩󵄩 2 l 2) + 1 2 ( 󵄩󵄩󵄩󵄩ψ 󵄩󵄩󵄩󵄩 2 E2 − ω 2 󵄩󵄩󵄩󵄩ψ 󵄩󵄩󵄩󵄩 2 l 2) − 1 4 ∑ n∈Z (a 1 φ 4 n + a 2 ψ 4 n + 2a 3 φ 2 n ψ 2 n ) , (18) I (φ, ψ) = 󵄩󵄩󵄩󵄩φ 󵄩󵄩󵄩󵄩 2 E1 − ω 1 󵄩󵄩󵄩󵄩φ 󵄩󵄩󵄩󵄩 2 l 2 + 󵄩󵄩󵄩󵄩ψ 󵄩󵄩󵄩󵄩 2 E2 − ω 2 󵄩󵄩󵄩󵄩ψ 󵄩󵄩󵄩󵄩 2 l 2 − ∑ n∈Z (a 1 φ 4 n + a 2 ψ 4 n + 2a 3 φ 2 n ψ 2 n )...

Let Ω be a bounded pseudoconvex domain in C N , φ, ψ two positive functions on Ω such that − logψ,− log φ are plurisubharmonic, z ∈ Ω a point at which − log φ is smooth and strictly plurisubharmonic, and M a nonnegative integer. We show that as k → ∞, the Bergman kernels with respect to the weights φkψM have an asymptotic expansion KφkψM (x, y) = kN πNφ(x, y)kψ(x, y)M ∞ ∑ j=0 bj(x, y) k −j , b0...

A new mixed variational–hemivariational problem is introduced, a(u,v−u)+b(v−u,λ)+φ(v)−φ(u)+J0(Tu;Tv−Tu)≥(f,v−u)X, b(u,μ−λ)−ψ(μ)+ψ(λ)−Ψ0(Rλ;Rμ−Rλ)≤0, (v∈X, μ∈Λ⊆Y), focusing on its well-posedness. We are looking for a pair solution (u,λ)∈X×Λ working into Hilbert spaces framework. Some particular cases with applications in mechanics highlighted. special attention payed to case leading penalty term...