We deene the notion of weak relative pseudo-complement, and we show that, for an arbitrary lattice, the property of weak relative pseudo-complementation is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main interest for this notion is in relation with the theory of closure operators. We prove that if a complete lattice L is completely inf-di...

A global secondary CR invariant is defined as the integral of a pseudo-hermitian which independent choice pseudo-Einstein contact form. We prove that any on strictly pseudoconvex five-manifolds linear combination total Q ′ -curvature, I and local invariant.

Let $X$ be a reflexive Banach space, $T:Xto X$ be a nonexpansive mapping with $C=Fix(T)neqemptyset$ and $F:Xto X$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. In this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences ...

We present a second order energy stable numerical scheme for the two and three dimensional Cahn–Hilliard equation, with Fourier pseudo-spectral approximation in space. A convex splitting treatment assures the unique solvability and unconditional energy stability of the scheme.Meanwhile, the implicit treatment of the nonlinear termmakes a direct nonlinear solver impractical, due to the global na...

We consider the linear Volterra equation

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of...

In this note we state some results on extensions of holomorphic mapings into hyperbolic spaces. A theorem involves extending holomorphic mappings to a domain of holomorphy. An extension problem of holomorphic mappings into a taut complex space was considered by Fujimoto [1]. Another result is that the space of all meromorphic mappings from a complex space X into a hyperbolically imbedded space ...

This paper is concerned with p ≥ 2 -cyclic self-mappings T : ⋃i∈p Ai → ⋃ i∈p Ai in a metric space X, d , with Ai ⊂ X, T Ai ⊆ Ai 1 for i 1, 2, . . . , p, under a general contractive condition which includes as particular cases several of the existing ones in the literature. The existence and uniqueness of fixed points and best proximity points is discussed as well as the convergence to them of t...