In this article we disscuss some properties of the classes of difference sequences c (∆), c0 (∆) and ` F ∞(∆) of fuzzy real numbers, like solidness, symmetricity, sequence algebra, convergence free, nowhere denseness and prove some inclusion results.

In this article we introduce some I-convergent difference sequence spaces of fuzzy real numbers defined by Orlicz function and study their different properties like completeness, solidity, symmetricity etc.

In this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. We give the relations between the strongly almost Cesàro type convergence and almost statistical convergence in these spaces . Furthermore, we study some of their properties like completeness, solidity, symmetricity etc. We also give some inclusion relations related to ...

In this article we introduce the difference double sequence spaces 2`∞(∆, q), 2c(∆, q), 2c0(∆, q), 2c(∆, q), 2c0 (∆, q), 2c (∆, q) and 2c0 (∆, q) defined over a seminormed space (X, q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonocity, convergence free, nowhere densenes etc. We prove some inclusion results too.

In this article we introduce the paranormed sequence spaces ( f ,Λ,∆m, p), c0( f ,Λ,∆m, p) and l∞( f ,Λ,∆m, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.

Symmetricity of an optimal solution of Semi-Definite Program (SDP) with certain symmetricity is discussed based on symmetry property of the central path that is traced by a primal-dual interior-point method. A symmetric SDP is defined by operators for rearranging elements of matrices and vectors, and the solution on the central path is proved to be symmetric. Therefore, it is theoretically guar...

We give some characterizations of self-adjointness and symmetricity of operator monotone functions by using the Barbour transform f → t+f 1+f and show that there are many non-symmetric operator means between the harmonic mean ! and the arithmetic mean ∇. Indeed, we show that there exists a non-symmetric operator mean between any two symmetric operator means.

We introduce and characterize angular right symmetric approximate points of the algebra all bounded linear operators defined on either real or complex Hilbert spaces.

In this paper, we introduce and study a strict generalization of symmetric rings. We call ring $R$ \textit{`$P$-symmetric' } if for any $a,\, b,\, c\in R,\, abc=0$ implies $bac\in P(R)$, where $P(R)$ is the prime radical $R$. It shown that class $P$-symmetric rings lies between central generalized weakly Relations are provided some other known classes From an arbitrary ring, produce many families