named interior points set of the LCP (M, q) must be nonempty. The aim of this paper is to show that the LCP (M, q) is completely equivalent to a convex quadratic programming problem (CQPP ) under linear constraints. To solve the second problem, we propose an iterative method of interior points which converge in polynomial time to the exact solution; this convergence requires at most o(n0,5L) it...

In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.

We consider the semi-infinite q–state Potts model. We prove, for large q, the existence of a first order surface phase transition between the ordered phase and the the so-called “new low temperature phase” predicted in [27], in which the bulk is ordered whereas the surface is disordered.

We prove L(w) bounds for the Carleson operator C, its lacunary version Clac, and its analogue for the Walsh series W in terms of the Aq constants [w]Aq for 1 q p. In particular, we show that, exactly as for the Hilbert transform, ‖C‖Lp(w) is bounded linearly by [w]Aq for 1 q < p. We also obtain L(w) bounds in terms of [w]Ap , whose sharpness is related to certain conjectures (for instance, of K...

In this paper we extend some of our recent results given in [15], so we consider a matrix transformation A = (ank)n,k≥1 and say that a sequence X = (xn)n≥1 is A-statistically convergent to L ∈ V with respect to the intuitionistic fuzzy normed space (IFNS) V if lim n→∞ 1 n |{k ≤ n : ν ([AX]k − L, t) ≥ ε or 1− μ ([AX]k − L, t) ≥ ε}| = 0 for any ε > 0. The aim of this paper is to give conditions o...

In the present paper‎, ‎we propose an iterative algorithm for‎ ‎solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix‎ ‎equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} ‎{underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$‎. ‎By this iterative algorithm‎, ‎the solvability of the problem can be determined automatically‎. ‎When the‎ ‎matrix equation is consistent over...