# (original)

## Applications of fibre contraction principle to some classes of functional integral equations

Abstract Let a<c<b real numbers, (B,|·|) a (real or complex) Banach space, H∈C([a,b]×[a,c]×B,B),K∈C([a,b]² ×B,B),g∈C([a,b],B),A:C([a,c],B)→C([a, c], B) and B:C([a,b],B)→C([a,b],B). In this…

## On the determination of the orbital elements in the light travel time effect

Abstract This paper deals with the light travel time effect in binary systems with variable components. The methods for estimation…

## Positive radial solutions for Dirichlet problems via a Harnack-type inequality

Abstract We deal with the existence and localization of positive radial solutions for Dirichlet problems involving $$\phi$$-Laplacian operators in a…

## Semilinear problems with poly-Laplace type operators

Abstract The paper deals with semilinear operator equations involving iterates of a strongly monotone symmetric linear operator. In particular there…

## Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities

Abstract We establish compression-expansion type fixed point theorems for systems of operator inclusions with decomposable multivalued maps. The approach is…

## Iterates of multidimensional approximation operators via Perov theorem

AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…

## On some applications of the controllability principle for fixed point equations

Abstract The aim of this paper is to draw attention to a general principle for solving control problems for operator…

## Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems

AbstractThe Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular…

## Stationary Kirchhoff equations and systems with reaction terms

AbstractIn this paper, the operator approach based on the fixed point principles of Banach and Schaefer is used to establish…

## A new optimal method of order four of Hermite–Steffensen type

Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…