Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings
We analyze the asymptotic behavior of infinite products of non-linear operators which take a non-empty, closed subset of a complete metric space into the space, taking into account summable computational errors. Our results can be applied in methods for solving convex feasibility and optimization pr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/1/88 |
| _version_ | 1797446149379981312 |
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| author | Alexander J. Zaslavski |
| author_facet | Alexander J. Zaslavski |
| author_sort | Alexander J. Zaslavski |
| collection | DOAJ |
| description | We analyze the asymptotic behavior of infinite products of non-linear operators which take a non-empty, closed subset of a complete metric space into the space, taking into account summable computational errors. Our results can be applied in methods for solving convex feasibility and optimization problems. |
| first_indexed | 2024-03-09T13:36:03Z |
| format | Article |
| id | doaj.art-6d3ed4a14e2948c697a73f5a87928dd2 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T13:36:03Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-6d3ed4a14e2948c697a73f5a87928dd22023-11-30T21:12:09ZengMDPI AGAxioms2075-16802023-01-011218810.3390/axioms12010088Two Convergence Results for Inexact Infinite Products of Non-Expansive MappingsAlexander J. Zaslavski0Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, IsraelWe analyze the asymptotic behavior of infinite products of non-linear operators which take a non-empty, closed subset of a complete metric space into the space, taking into account summable computational errors. Our results can be applied in methods for solving convex feasibility and optimization problems.https://www.mdpi.com/2075-1680/12/1/88complete metric spaceconvergence analysisinexact iterationinfinite productnon-expansive mapping |
| spellingShingle | Alexander J. Zaslavski Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings Axioms complete metric space convergence analysis inexact iteration infinite product non-expansive mapping |
| title | Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings |
| title_full | Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings |
| title_fullStr | Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings |
| title_full_unstemmed | Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings |
| title_short | Two Convergence Results for Inexact Infinite Products of Non-Expansive Mappings |
| title_sort | two convergence results for inexact infinite products of non expansive mappings |
| topic | complete metric space convergence analysis inexact iteration infinite product non-expansive mapping |
| url | https://www.mdpi.com/2075-1680/12/1/88 |
| work_keys_str_mv | AT alexanderjzaslavski twoconvergenceresultsforinexactinfiniteproductsofnonexpansivemappings |