Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces
We use a modified S-iterative process to prove some strong and Δ-convergence results for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces, which includes Banach spaces and CAT(0) spaces. Thus, our results can be viewed as extension and generalization of several known r...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/510798 |
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| author | Shin Min Kang Samir Dashputre Bhuwan Lal Malagar Young Chel Kwun |
| author_facet | Shin Min Kang Samir Dashputre Bhuwan Lal Malagar Young Chel Kwun |
| author_sort | Shin Min Kang |
| collection | DOAJ |
| description | We use a modified S-iterative process to prove some strong and Δ-convergence results for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces, which includes Banach spaces and CAT(0) spaces. Thus, our results can be viewed as extension and generalization of several known results in Banach spaces and CAT(0) spaces (see, e.g., Abbas et al. (2012), Abbas et al. (2013), Bruck et al. (1993), and Xin and Cui (2011)) and improve many results in the literature. |
| format | Article |
| id | doaj-art-7a5a55ae188b4b0abe591462339029ee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7a5a55ae188b4b0abe591462339029ee2025-02-03T01:23:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/510798510798Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic SpacesShin Min Kang0Samir Dashputre1Bhuwan Lal Malagar2Young Chel Kwun3Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Applied Mathematics, Shri Shankaracharya Group of Institutions, Junwani, Bhilai 490020, IndiaDepartment of Applied Mathematics, Shri Shankaracharya Group of Institutions, Junwani, Bhilai 490020, IndiaDepartment of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaWe use a modified S-iterative process to prove some strong and Δ-convergence results for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces, which includes Banach spaces and CAT(0) spaces. Thus, our results can be viewed as extension and generalization of several known results in Banach spaces and CAT(0) spaces (see, e.g., Abbas et al. (2012), Abbas et al. (2013), Bruck et al. (1993), and Xin and Cui (2011)) and improve many results in the literature.http://dx.doi.org/10.1155/2015/510798 |
| spellingShingle | Shin Min Kang Samir Dashputre Bhuwan Lal Malagar Young Chel Kwun Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces Journal of Applied Mathematics |
| title | Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces |
| title_full | Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces |
| title_fullStr | Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces |
| title_full_unstemmed | Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces |
| title_short | Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces |
| title_sort | fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces |
| url | http://dx.doi.org/10.1155/2015/510798 |
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