A note on asymptotic contractions.
Arav, Marina, Santos, Francisco Eduardo Castillo, Reich, Simeon, Zaslavski, Alexander J. (2007)
Fixed Point Theory and Applications [electronic only]
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Arav, Marina, Santos, Francisco Eduardo Castillo, Reich, Simeon, Zaslavski, Alexander J. (2007)
Fixed Point Theory and Applications [electronic only]
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Chen, Chunfang, Zhu, Chuanxi (2008)
Fixed Point Theory and Applications [electronic only]
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Castaing, Charles, Monteiro Marques, Manuel D.P. (1996)
Portugaliae Mathematica
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Jarosław Górnicki, Krzysztof Pupka (2005)
Commentationes Mathematicae Universitatis Carolinae
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Using modified Halpern iterations, by elementary method, we extend and improve results obtained by W.A. Kirk (Proc. Amer. Math. Soc. (1971), 294) and others, which have recently been presented in Chapter 11 of (2001).
Hristova, S.G., Rangelova, M.A. (2002)
International Journal of Mathematics and Mathematical Sciences
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Yamazaki, Noriaki (2002)
Abstract and Applied Analysis
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Pham Ky Anh, Le Cong Loi (2006)
Advances in Difference Equations [electronic only]
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Karoui, Abderrazek (2005)
Journal of Inequalities and Applications [electronic only]
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Hyam Abboud, Toni Sayah (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study a two-grid scheme fully discrete in time and space for solving the Navier-Stokes system. In the first step, the fully non-linear problem is discretized in space on a coarse grid with mesh-size and time step In the second step, the problem is discretized in space on a fine grid with mesh-size and the same time step, and linearized around the velocity computed in the first step. The two-grid strategy is motivated by the fact that under suitable assumptions,...