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 |
| Summary: | 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. |
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| ISSN: | 2314-4629 2314-4785 |