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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Hindawi Limited
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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doaj-0f35aaeac53d456d8c06477fa97a0ec72020-11-24T23:24:07ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Manuel De la Sen |
| spellingShingle |
Manuel De la Sen About Fixed Points in CAT(0) Spaces under a Combined Structure of Two Self-Mappings Journal of Mathematics |
| author_facet |
Manuel De la Sen |
| author_sort |
Manuel De la Sen |
| title |
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_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_sort |
about fixed points in cat(0) spaces under a combined structure of two self-mappings |
| publisher |
Hindawi Limited |
| series |
Journal of Mathematics |
| issn |
2314-4629 2314-4785 |
| publishDate |
2017-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2017/1470582 |
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AT manueldelasen aboutfixedpointsincat0spacesunderacombinedstructureoftwoselfmappings |
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