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Displaying similar documents to “Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach.”

A smoothing SAA method for a stochastic mathematical program with complementarity constraints

Jie Zhang, Li-wei Zhang, Yue Wu (2012)

Applications of Mathematics

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A smoothing sample average approximation (SAA) method based on the log-exponential function is proposed for solving a stochastic mathematical program with complementarity constraints (SMPCC) considered by Birbil et al. (S. I. Birbil, G. Gürkan, O. Listes: Solving stochastic mathematical programs with complementarity constraints using simulation, Math. Oper. Res. 31 (2006), 739–760). It is demonstrated that, under suitable conditions, the optimal solution of the smoothed SAA problem converges...

Some boundedness results for systems of two rational difference equations

Gabriel Lugo, Frank Palladino (2010)

Open Mathematics

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We study k th order systems of two rational difference equations x n = α + ∑ i = 1 k β i x n - 1 + ∑ i = 1 k γ i y n - 1 A + ∑ j = 1 k B j x n - j + ∑ j = 1 k C j y n - j , y n = p + ∑ i = 1 k δ i x n - i + ∑ i = 1 k ε i y n - i q + ∑ j = 1 k D j x n - j + ∑ j = 1 k E j y n - j n ∈ ℕ . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.