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Sequences which satisfy a logarithmic linear inequality

Stević S.

Fasciculi Mathematici

2004

Nr 34

85-95

In this note we discuss the boundedness and convergence of a sequence which satisfies the following logarithmic linear inequality where k(1) + k(2) +... + km = 1. We focus our attention especially to the case n = 2. Also we describe a situation where this inequality occurs naturally.

Stability of a new iteration method for strongly pseudocontractive mappings

Stević S.

Demonstratio Mathematica

2003

Vol. 36, nr 2

404--412

In this note we prove that a recently introduced iteration procedure is almost stable with respect to strong pseudocontractions in real uniformly Banach spaces.

Boundedness and persistence of solutions of a nonlinear difference equation

Stević S.

Demonstratio Mathematica

2003

Vol. 36, nr 1

99--104

In this paper we obtain sufficient conditions for the boundedness as well ;is for the unboundedness of the positive solutions of the difference equation xn+1=f(xn,...,xn-k+1), n=0,1,2,...,where k is a positive integer and the initial conditions x-k+1, X-k+2,...x0 are arbitrary positive numbers.