The concept of  somewhat pairwise fuzzy $alpha$-irresolute continuous mappings and somewhat pairwise fuzzy irresolute $alpha$-open mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.

For every genus $g\geq 2$, we construct an infinite family of strongly quasipositive fibred knots having the same Seifert form as torus knot $T(2,2g+1)$. In particular, their signatures and four-genera are maximal homological monodromies (hence Alexander module structures) agree. On other hand, geometric stretching factors pairwise distinct not ribbon concordant.

Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem ...

We emulate the Rademacher functions on any non-commutative compact group requiring the resulting system to have pairwise disjoint spectra. Introduction Let G be a compact topological group with normalized Haar measure μ and dual object Ĝ. Let π : G → U(Hπ) be an irreducible unitary representation of G. Then, given an integrable function f : G → C, the Fourier coefficient of f at π is defined as...

We modelled the conflict situation using a Markov game on various complex networks and investigated the emergence of conventions for conflict resolutions in agent networks with various structures through pairwise reinforcement learning. We found the network structure strongly affected their emergence and the agents could sometimes learn no conventions although they could learn locally consisten...

Abstract By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, determine some intervals parameters such that treated problem admits either unbounded sequence or a pairwise distinct strongly converges to zero. No s...

Let X be a real Banach space and let K be a bounded closed convex subset of X. We prove that the set of strongly exposing functions K" of K is a (norm) dense G, in X* if and only if for any bounded closed convex subset C such that Kit C, there exists a point x in K which is a strongly exposed point of conv (C U K). As an application, we show that if X* is weakly compact generated, then for any ...