Monotone increasing multi-valued condensing random operators and random differential inclusions.

Dhage, B.C.; Ntouyas, S.K.; Palimkar, D.S.

Displaying similar documents to “Monotone increasing multi-valued condensing random operators and random differential inclusions.”

Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables

Hiroyuki Okazaki, Yasunari Shidama (2010)

Formalized Mathematics

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In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.

On coupled random fixed point results in partially ordered metric spaces

Wasfi Shatanawi, Zead Mustafa (2012)

Matematički Vesnik

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Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear $(𝐀_{ω}, η_{ω})$ -accretive mappings in Banach spaces.

Li, Hong Gang (2010)

The Journal of Nonlinear Sciences and its Applications

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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)

Banach Journal of Mathematical Analysis [electronic only]

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Probability on Finite Set and Real-Valued Random Variables

Hiroyuki Okazaki, Yasunari Shidama (2009)

Formalized Mathematics

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In the various branches of science, probability and randomness provide us with useful theoretical frameworks. The Formalized Mathematics has already published some articles concerning the probability: [23], [24], [25], and [30]. In order to apply those articles, we shall give some theorems concerning the probability and the real-valued random variables to prepare for further studies.

On a class of covariance operators.

Chantladze, T., Kandelaki, N. (1998)

Georgian Mathematical Journal

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The 123 theorem of Probability Theory and Copositive Matrices

Alexander Kovačec, Miguel M. R. Moreira, David P. Martins (2014)

Special Matrices

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Alon and Yuster give for independent identically distributed real or vector valued random variables X, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derive these using copositive matrices instead. By the same method we also give estimates for the real valued case, involving X + Y and X − Y, due to Siegmund-Schultze and von Weizsäcker as generalized by Dong, Li and Li. Furthermore, we formulate a version of the above inequalities as an integral...