Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces
The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence to a common fixed point and establish some st...
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-03-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0010/dema-2016-0010.xml?format=INT |
| _version_ | 1818201260292046848 |
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| author | Saluja G. S. |
| author_facet | Saluja G. S. |
| author_sort | Saluja G. S. |
| collection | DOAJ |
| description | The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature. |
| first_indexed | 2024-12-12T02:50:43Z |
| format | Article |
| id | doaj.art-1eb6fae5eea646d7a33c44478cdb1b63 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-12T02:50:43Z |
| publishDate | 2016-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-1eb6fae5eea646d7a33c44478cdb1b632022-12-22T00:40:54ZengDe GruyterDemonstratio Mathematica2391-46612016-03-0149110711810.1515/dema-2016-0010dema-2016-0010Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spacesSaluja G. S.0Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), IndiaThe purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature.http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0010/dema-2016-0010.xml?format=INTasymptotically quasi-nonexpansive type mappingstrong convergencemodified S-iteration processcommon fixed pointCAT(0) space54H2554E40 |
| spellingShingle | Saluja G. S. Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces Demonstratio Mathematica asymptotically quasi-nonexpansive type mapping strong convergence modified S-iteration process common fixed point CAT(0) space 54H25 54E40 |
| title | Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces |
| title_full | Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces |
| title_fullStr | Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces |
| title_full_unstemmed | Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces |
| title_short | Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces |
| title_sort | convergence of modified s iteration process for two asymptotically quasi nonexpansive type mappings in cat 0 spaces |
| topic | asymptotically quasi-nonexpansive type mapping strong convergence modified S-iteration process common fixed point CAT(0) space 54H25 54E40 |
| url | http://www.degruyter.com/view/j/dema.2016.49.issue-1/dema-2016-0010/dema-2016-0010.xml?format=INT |
| work_keys_str_mv | AT salujags convergenceofmodifiedsiterationprocessfortwoasymptoticallyquasinonexpansivetypemappingsincat0spaces |