we introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition fo...

A mobile ad-hoc network (MANET), a set of wirelessly connected sensor nodes, is a dynamic system that executes hop-by-hop routing independently with no external help of any infrastructure. Proper selection of cluster heads can increase the life time of the Ad-hoc network by decreasing the energy consumption. Although different methods have been successfully proposed by researchers to tackle...

the problem of determining the sequence of a set of jobs with the objective function of minimizing the maximum earliness and tardiness in one machine is studied. production systems like jit are one of the many applications of the problem. this problem is studied in special cases and their optimal solutions are introduced with simple orders. in general, some effective conditions for neighboring ...

direct orthogonal signal correction(dosc) and savitzky-golay filters (sgf) were applied as preprocessing methods on the original and first derivative absorbance data. principle component regression (pcr), partial least squares (pls) and iterative target transformation factor analysis (ittfa), were used in spectrophotometric simultaneous determination of heavy divalent metal ions, lead, zinc,mer...

in this paper, a stochastic cell formation problem is studied using queuing theory framework and considering reliability. since cell formation problem is np-hard, two algorithms based on genetic and modified particle swarm optimization (mpso) algorithms are developed to solve the problem. for generating initial solutions in these algorithms, a new heuristic method is developed, which always cre...

This paper provides a version of the transversality theorem for a class of Lipschitz functions of the form f : R × C → Rn where C is a convex subset of a normed vector space Z indexing the parameters in the problem. The set C may be infinite-dimensional, and the notion of generic used is the measure-theoretic notion of prevalence introduced by Hunt, Sauer and Yorke (1992) and Christensen (1974)...

In this paper, a priori estimates of positive solutions for sublinear elliptic equations are given in terms of thicknesses of domains. To this end, a supersolution is constructed by a composite function of a solution to an ordinary differential equation and a distance function. The results work efficiently in the case where the domain is an exterior or an interior of a convex set.

In this paper we obtain a very general theorem of ρ-compatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a G-convex space Y , two topological spaces X and Z, a (binary) relation ρ on 2Z and three mappings P : X ( Z, Q : Y ( Z and T ∈ B(Y, X) satisfying a set of conditions we can find (x̃, ỹ) ∈ X×Y such that x̃ ∈ T (ỹ) and P (x̃)ρ Q(ỹ). Two pa...

We study the existence of non–trivial solutions to the Yamabe equation: −∆u+ a(x) = μu|u| 4 n−2 μ > 0, x ∈ Ω ⊂ R with n ≥ 4, u(x) = 0 on ∂Ω under weak regularity assumptions on the potential a(x). More precisely in dimension n ≥ 5 we assume that: (1) a(x) belongs to the Lorentz space L n 2 (Ω) for some 1 ≤ d < ∞, (2) a(x) ≤ M < ∞ a.e. x ∈ Ω, (3) the set {x ∈ Ω|a(x) < 0} has positive measure, (4...

We consider the q-hypergeometric equation with q = 1 and α, β, γ ∈ Z. We solve this equation on the space of functions given by a power series multiplied by a power of the logarithmic function. We prove that the subspace of solutions is twodimensional over the field of quasi-constants. We get a basis for this space explicitly. In terms of this basis, we represent the q-hypergeometric function o...