It is proved that for any given integer k > 2 and a k-monotone function g, there exists a k-monotone function g̃ ≤ g of the form c(a − x) + and passing through a fixed point in the support of g. The result is motivated by the problem of the existence of the LSE of a k-monotone density.

for every fixed point xoiD, with a similar requirement for the derivatives of u. Many researches were performed in this connection, however such a solution of the proposed problem fails to bring into evidence the functional dependence of u on the data / and g. We shall adopt a different enunciation of the problem. Let us suppose that the space 5 of all admissible functions is a Banach space and...

Extending work of Klyachko and Perling, we develop a combinatorial description of pure equivariant sheaves on an arbitrary nonsingular toric variety X. This combinatorial description can be used to construct very explicit moduli spaces of stable equivariant sheaves on X using Geometric Invariant Theory (analogous to techniques used in case of equivariant vector bundles by Payne and Perling). We...

*Correspondence: [email protected] Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia Abstract We obtain sufficient conditions for the existence and uniqueness of best proximity points for a new class of non-self mappings involving simulation functions in a metric space endowed with a partial order. Some interesting consequences inclu...

Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN , and φ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H(β,BN ) is given by (Cψ,φ) f = ψ(z) f (φ(z)), where f ∈H2(β,BN ). This paper discusses the spectrum of Cψ,φ when it is compact on a certain class of weighted Hardy spaces and when the compos...

In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.

ABS]RACT. Our main theorem establishes the uniqueness of the common fixed point of tw set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author. Let (X,d) be a complete metric space and let B(X) be the set of all nonempty, bounded subsets of X As in [I], l...

Let K(n) be the nth Morava K-theory spectrum. Let En be the Lubin-Tate spectrum, which plays a central role in understanding LK(n)(S 0), the K(n)-local sphere. For any spectrum X, define E∨(X) to be the spectrum LK(n)(En ∧ X). Let G be a closed subgroup of the profinite group Gn, the group of ring spectrum automorphisms of En in the stable homotopy category. We show that E∨(X) is a continuous G...

*Correspondence: [email protected] 1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China Full list of author information is available at the end of the article Abstract Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued b-metric spaces which generalizes the concept of C∗-algebra-valued metric spac...