Split variational inclusion problem and fixed point problem for a class of multivalued mappings in CAT(0) spaces
| dc.contributor.author | Abbas, Mujahid | |
| dc.contributor.author | Ibrahim, Yusuf | |
| dc.contributor.author | Khan, Abdul Rahim | |
| dc.contributor.author | De la Sen, Manuel | |
| dc.date.accessioned | 2020-03-13T07:42:11Z | |
| dc.date.available | 2020-03-13T07:42:11Z | |
| dc.date.issued | 2019-08-16 | |
| dc.description.abstract | The aim of this paper is to introduce a modified viscosity iterative method to approximate a solution of the split variational inclusion problem and fixed point problem for a uniformly continuous multivalued total asymptotically strictly pseudocontractive mapping in CAT(0) spaces. A strong convergence theorem for the above problem is established and several important known results are deduced as corollaries to it. Furthermore, we solve a split Hammerstein integral inclusion problem and fixed point problem as an application to validate our result. It seems that our main result in the split variational inclusion problem is new in the setting of CAT(0) spaces. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | am2020 | en_ZA |
| dc.description.sponsorship | Deanship of Scientific Research (DSR) at King Fahd University of Petroleum and Minerals and Basque Government. | en_ZA |
| dc.description.uri | https://www.mdpi.com/journal/mathematics | en_ZA |
| dc.identifier.citation | Abbas, M., Ibrahim, Y., Khan, A.R. et al. 2019, 'Split variational inclusion problem and fixed point problem for a class of multivalued mappings in CAT(0) spaces', Mathematics, vol. 7, no. 8, art. 749, pp. 1-14. | en_ZA |
| dc.identifier.issn | 2227-7390 (online) | |
| dc.identifier.other | 10.3390/math7080749 | |
| dc.identifier.uri | http://hdl.handle.net/2263/73745 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | MDPI | en_ZA |
| dc.rights | © 2019 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. | en_ZA |
| dc.subject | Split variational inclusion problem | en_ZA |
| dc.subject | Fixed point problem | en_ZA |
| dc.subject | CAT(0) space | en_ZA |
| dc.subject | Total asymptotically strictly pseudocontractive mapping | en_ZA |
| dc.title | Split variational inclusion problem and fixed point problem for a class of multivalued mappings in CAT(0) spaces | en_ZA |
| dc.type | Article | en_ZA |