Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces
We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and gene...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/368204 |
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| _version_ | 1849408613309743104 |
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| author | Jong Kyu Kim Ramesh Prasad Pathak Samir Dashputre Shailesh Dhar Diwan Rajlaxmi Gupta |
| author_facet | Jong Kyu Kim Ramesh Prasad Pathak Samir Dashputre Shailesh Dhar Diwan Rajlaxmi Gupta |
| author_sort | Jong Kyu Kim |
| collection | DOAJ |
| description | We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces. |
| format | Article |
| id | doaj-art-7bf7b8bfbaba4e0188f3d9a7d1f27d2b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7bf7b8bfbaba4e0188f3d9a7d1f27d2b2025-08-20T03:35:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/368204368204Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic SpacesJong Kyu Kim0Ramesh Prasad Pathak1Samir Dashputre2Shailesh Dhar Diwan3Rajlaxmi Gupta4Department of Mathematics Education, Kyungnam University, Changwon, Gyeongnam 631-701, Republic of KoreaDepartment of Applied Mathematics, National Institute of Technology, Raipur 492001, IndiaDepartment of Applied Mathematics, Shri Shankaracharya Groups of Institution, Junwani, Bhilai 490020, IndiaDepartment of Applied Mathematics, Sant Guru Ghasidas, Government P. G. College, Kurud, Dhamtari 493663, IndiaDepartment of Applied Mathematics, National Institute of Technology, Raipur 492001, IndiaWe prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces.http://dx.doi.org/10.1155/2015/368204 |
| spellingShingle | Jong Kyu Kim Ramesh Prasad Pathak Samir Dashputre Shailesh Dhar Diwan Rajlaxmi Gupta Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces |
| title_full | Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces |
| title_fullStr | Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces |
| title_full_unstemmed | Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces |
| title_short | Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces |
| title_sort | fixed point approximation of generalized nonexpansive mappings in hyperbolic spaces |
| url | http://dx.doi.org/10.1155/2015/368204 |
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