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Convergence of Generic Infinite Products of Order-Preserving Mappings |
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| Authors: | Reich Simeon Zaslavski Alexander J. |
| Affiliation: | (1) Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel |
| Abstract: | In this paper we establish several results concerning the asymptotic behavior of (random) infinite products of generic sequences of order-preserving mappings on intervals of an ordered Banach space. In addition to weak ergodic theorems we also obtain convergence to a unique common fixed point. |
| Keywords: | Fixed point generic property ordered Banach space order-preserving mapping random infinite product uniform space |
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