The main aim of this article is to introduce a new class of difference sequence spaces associated with a multiplier sequence which are isomorphic with the classical spaces c0, c and ∞ respectively and investigate some algebraic and topological structures of the spaces. Mathematics Subject Classification: 40A05, 40C05, 46A45

Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence  ${alpha_{n}}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={alpha}_{n}{x}_{n}+(1-{alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize thei...

In this paper, a novel watermarking method in the Difference of Gaussian (DoG) Scale Space is proposed. The idea is to decompose image into DoG scales and insert the watermark into these DoG sub-images using a multiscale JND (Just Noticeable Difference) model, providing an invisible and robust watermarking scheme. In order to survive de-synchronization attacks, we use the SIFT (Scale Invariant ...

This paper considers the problem of global asymptotic stability of a class of two-dimensional (2-D ) uncertain discrete systems described by the Fornasini–Marchesini second local state-space (FMSLSS) model under the influence of various combinations of quantization/overflow nonlinearities and interval-like time-varying delay in the state. The systems under consideration involve parameter uncert...

Volterra difference equations arise in the mathematical modeling of some real phenomena, and also in numerical schemes for solving differential and integral equations (cf. [7, 8] and the references therein). One of the basic methods in the theory of stability and boundedness of Volterra difference equations is the direct Lyapunov method (see [1, 3, 4] and the references therein). But finding th...

Abstract. This paper presents new sequence spacesX(r, s, t, p;B) forX ∈ {l∞(p), c(p), c0(p), l(p)} defined by using generalized means and difference operator. It is shown that these spaces are complete paranormed spaces and the spaces X(r, s, t, p;B) for X ∈ {c(p), c0(p), l(p)} have Schauder basis. Furthermore, the α-, β-, γduals of these sequence spaces are computed and also obtained necessary...

For a sequence of bounded linear operators {An}n=0 on a Banach space X , we investigate the characterization of exponential dichotomy of the difference equations vn+1 = Anvn. We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations vn+1 = Anvn + fn in lp spaces (1 ≤ p <∞). Then we apply the results to study the robustness of expon...