On coupled random fixed point results in partially ordered metric spaces

Wasfi Shatanawi; Zead Mustafa

Displaying similar documents to “On coupled random fixed point results in partially ordered metric spaces”

Approximation of common random fixed points of finite families of N-uniformly $L_{i}$ -Lipschitzian asymptotically hemicontractive random maps in Banach spaces.

Moore, Chika, Nnanwa, C.P., Ugwu, B.C. (2009)

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Sample behavior and laws of large numbers for Gaussian random elements.

Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)

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On exponential convergence to a stationary measure for a class of random dynamical systems

Sergei B. Kuksin (2001)

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For a class of random dynamical systems which describe dissipative nonlinear PDEs perturbed by a bounded random kick-force, I propose a “direct proof” of the uniqueness of the stationary measure and exponential convergence of solutions to this measure, by showing that the transfer-operator, acting in the space of probability measures given the Kantorovich metric, defines a contraction of this space.

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Random coincidence degree theory with applications to random differential inclusions

Enayet U, Tarafdar, P. Watson, George Xian-Zhi Yuan (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to establish a random coincidence degree theory. This degree theory possesses all the usual properties of the deterministic degree theory such as existence of solutions, excision and Borsuk’s odd mapping theorem. Our degree theory provides a method for proving the existence of random solutions of the equation $L x \in N (ω, x)$ where $L : dom L \subset X \to Z$ is a linear Fredholm mapping of index zero and $N : Ω \times \bar{G} \to 2^{Z}$ is a noncompact Carathéodory mapping. Applications to random differential inclusions are also...

Change of variables formula under minimal assumptions

Piotr Hajłasz (1993)

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In the previous papers concerning the change of variables formula (in the form involving the Banach indicatrix) various assumptions were made about the corresponding transformation (see e.g. [BI], [GR], [F], [RR]). The full treatment of the case of continuous transformation is given in [RR]. In [BI] the transformation was assumed to be continuous, a.e. differentiable and with locally integrable Jacobian. In this paper we show that none of these assumptions is necessary (Theorem 2). We...

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Inequalities for the moments and distribution of the ladder height of a random walk.

Lotov, V.I. (2002)

Sibirskij Matematicheskij Zhurnal

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Strong and weak solutions to stochastic inclusions

Michał Kisielewicz (1995)

Banach Center Publications

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Existence of strong and weak solutions to stochastic inclusions $x_{t} - x_{s} \in \int_{s}^{t} F_{τ} (x_{τ}) d τ + \int_{s}^{t} G_{τ} (x_{τ}) d w_{τ} + \int_{s}^{t} \int_{ℝ^{n}} H_{τ, z} (x_{τ}) q (d τ, d z)$ and $x_{t} - x_{s} \in \int_{s}^{t} F_{τ} (x_{τ}) d τ + \int_{s}^{t} G_{τ} (x_{τ}) d w_{τ} + \int_{s}^{t} \int_{| z | \leq 1} H_{τ, z} (x_{τ}) q (d τ, d z) + \int_{s}^{t} \int_{| z | > 1} H_{τ, z} (x_{τ}) p (d τ, d z)$ , where p and q are certain random measures, is considered.