‎This paper presents two main results that the singular values of the Hadamard product of normal matrices $A_i$ are weakly log-majorized by the singular values of the Hadamard product of $|A_{i}|$ and the singular values of the sum of normal matrices $A_i$ are weakly log-majorized by the singular values of the sum of $|A_{i}|$‎. ‎Some applications to these inequalities are also given‎. ‎In addi...

We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanishing at infinity is weakly almost periodic. We also use a number of diverse examples to show ...

A subset $A$ of an abelian group G $G$ is sequenceable if there ordering ( a 1 , … k ) $({a}_{1},\ldots ,{a}_{k})$ its elements such that the partial sums s 0 $({s}_{0},{s}_{1},\ldots ,{s}_{k})$ given by = ${s}_{0}=0$ and i ∑ j ${s}_{i}={\sum }_{j=1}^{i}{a}_{j}$ for ≤ $1\le i\le k$ are distinct, with possible exception we may have ${s}_{k}={s}_{0}=0$ . In literature several conjectures question...

In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive...

A one-sided ideal of a ring has the insertion of factors property (or simply, IFP) if implies r for . We say a one-sided ideal of has the weakly IFP if for each , implies , for some non-negative integer . We give some examples of ideals which have the weakly IFP but have not the IFP. Connections between ideals of which have the IFP and related ideals of some ring extensions a...

We study the monoid of global invariant types modulo domination-equivalence in context o-minimal theories. reduce its computation to problem proving that it is generated by classes 1-types. show this hold Real Closed Fields, where generators correspond convex subrings monster model. Combined with [C. Ealy, D. Haskell and J. Maríková, Residue field domination real closed valued fields, Notre Dam...

In the present paper‎, ‎we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$‎. ‎We also define the concept of weakly related mappings on an ordered space‎. ‎Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space‎.

in this paper, we prove some common fixed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.