The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. Frenet and Flc frame vectors, curvature torsion of the new constructed are expressed by means initial curve invariants. For sake comparison view, an example for both is also presented at end paper.

In this paper, we design some iterative schemes for solving operator equation $ Lu=f $, where $ L:Hrightarrow H $ is a bounded, invertible and self-adjoint operator on a separable Hilbert space $ H $. In this concern,  Richardson and Chebyshev iterative methods are two outstanding as well as long-standing ones. They can be implemented in different ways via different concepts.In this paper...

We show that every completely regular frame has a P -frame re‡ection. The proof is straightforward in the case of a Lindelöf frame, but more complicated in the general case. The chief obstacle to a simple proof is the important fact that a quotient of a P -frame need not be a P -frame, and we give an example of this. Our proof of the existence of the P -frame re‡ection in the general case is it...

Motivated by the idea of J-frame for a Krein space K , introduced by Giribet et al. (J. I. Giribet, A. Maestripieri, F. Martnez Peŕıa, P. G. Massey, On frames for Krein spaces, J. Math. Anal. Appl. (1), 393 (2012), 122–137.), we introduce the notion of ζ − J-tight frame for a Krein space K . In this paper we characterize J-orthonormal basis for K in terms of ζ−J-Parseval frame. We show that a K...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...