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| dc.contributor.author | Ugwunnadi, Godwin Chidi
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| dc.contributor.author | Khan, Abdul Rahim
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| dc.contributor.author | Abbas, Mujahid
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| dc.date.accessioned | 2018-06-04T05:14:32Z | |
| dc.date.issued | 2018-06 | |
| dc.description.abstract | We introduce a hybrid proximal point algorithm and establish its strong convergence to a common solution of a proximal point of a lower semi-continuous mapping and a fixed point of a demicontractive mapping in the framework of a CAT(0) space. As applications of our new result, we solve variational inequality problems for these mappings on a Hilbert space. Illustrative example is given to validate theoretical result obtained herein. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2019-06-01 | |
| dc.description.librarian | hj2018 | en_ZA |
| dc.description.sponsorship | The Deanship of Scientific Research (DSR) at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through project no. IN151014. | en_ZA |
| dc.description.uri | http://link.springer.com/journal/11784 | en_ZA |
| dc.identifier.citation | Ugwunnadi, G.C., Khan, A.R. & Abbas, M. J. A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces. ournal of Fixed Point Theory and Applications. (2018) 20: 82. https://doi.org/10.1007/s11784-018-0555-0. | en_ZA |
| dc.identifier.issn | 1661-7738 (print) | |
| dc.identifier.issn | 1661-7746 (online) | |
| dc.identifier.other | 10.1007/s11784-018-0555-0 | |
| dc.identifier.uri | http://hdl.handle.net/2263/65079 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Springer | en_ZA |
| dc.rights | © Springer International Publishing AG, part of Springer Nature 2018. The original publication is available at : http://link.springer.com/journal/11784. | en_ZA |
| dc.subject | Proximal point | en_ZA |
| dc.subject | CAT(0) space | en_ZA |
| dc.subject | Strong convergence | en_ZA |
| dc.subject | △ convergence | en_ZA |
| dc.subject | Fixed point | en_ZA |
| dc.subject | Demicontractive mapping | en_ZA |
| dc.title | A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces | en_ZA |
| dc.type | Postprint Article | en_ZA |
