About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings
This paper investigates some fixed point-related questions including the sequence boundedness and convergence properties of mappings QtSx,Ty=tSx⊕1-tTy defined in CAT0 spaces, which are parameterized by a scalar t∈0,1, where S,T: X→X are nonexpansive Lipschitz-continuous mappings and X,d is a metric...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/1470582 |
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| _version_ | 1832564170220896256 |
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| author | Manuel De la Sen |
| author_facet | Manuel De la Sen |
| author_sort | Manuel De la Sen |
| collection | DOAJ |
| description | This paper investigates some fixed point-related questions including the sequence boundedness and convergence properties of mappings QtSx,Ty=tSx⊕1-tTy defined in CAT0 spaces, which are parameterized by a scalar t∈0,1, where S,T: X→X are nonexpansive Lipschitz-continuous mappings and X,d is a metric space which is a CAT0 space. |
| format | Article |
| id | doaj-art-0f35aaeac53d456d8c06477fa97a0ec7 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0f35aaeac53d456d8c06477fa97a0ec72025-02-03T01:11:34ZengWileyJournal of Mathematics2314-46292314-47852017-01-01201710.1155/2017/14705821470582About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-MappingsManuel De la Sen0Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa 48940, Bizkaia, SpainThis paper investigates some fixed point-related questions including the sequence boundedness and convergence properties of mappings QtSx,Ty=tSx⊕1-tTy defined in CAT0 spaces, which are parameterized by a scalar t∈0,1, where S,T: X→X are nonexpansive Lipschitz-continuous mappings and X,d is a metric space which is a CAT0 space.http://dx.doi.org/10.1155/2017/1470582 |
| spellingShingle | Manuel De la Sen About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings Journal of Mathematics |
| title | About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings |
| title_full | About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings |
| title_fullStr | About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings |
| title_full_unstemmed | About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings |
| title_short | About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings |
| title_sort | about fixed points in cat 0 spaces under a combined structure of two self mappings |
| url | http://dx.doi.org/10.1155/2017/1470582 |
| work_keys_str_mv | AT manueldelasen aboutfixedpointsincat0spacesunderacombinedstructureoftwoselfmappings |