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Invariant measures for iterated function systems

100%

Szarek T.

Annales Polonici Mathematici

2000

tom 75

nr 1

87-98

A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.

Dynamical systems with multiplicative perturbations: the strong convergence of measures

100%

Horbacz K.

Annales Polonici Mathematici

1993

tom 58

nr 1

85-93

We give sufficient conditions for the strong asymptotic stability of the distributions of dynamical systems with multiplicative perturbations. We apply our results to iterated function systems.

Common fixed point results of four mappings in ordered partial metric spaces

63%

Nazir T., Silvestrov S., Abbas M.

Waves, Wavelets and Fractals

2016

tom 2

nr 1

On partially ordered set equipped with a partial metric, we study the sufficient conditions for existence of common fixed points of various mappings satisfying generalized weak contractive conditions. These results unify several comparable results in the existing literature.We also study the existence of nonnegative solution of implicit nonlinear integral equation. Furthermore, we study the fractal of finite family of generalized contraction mappings defined on a partial metric space.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Waves, Wavelets and Fractals

1 Abbas M.

1 Horbacz K.

1 Nazir T.

1 Silvestrov S.

1 Szarek T.

1 2016

1 2000

1 1993

Wyniki wyszukiwania

Invariant measures for iterated function systems

Dynamical systems with multiplicative perturbations: the strong convergence of measures

Common fixed point results of four mappings in ordered partial metric spaces