Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach 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 | 2020-06-09T14:24:57Z | |
dc.date.available | 2020-06-09T14:24:57Z | |
dc.date.issued | 2019-05 | |
dc.description.abstract | The purpose of this paper is to introduce a new algorithm to approximate a common solution for a system of generalized mixed equilibrium problems, split variational inclusion problems of a countable family of multivalued maximal monotone operators, and fixed-point problems of a countable family of left Bregman, strongly asymptotically non-expansive mappings in uniformly convex and uniformly smooth Banach spaces. A strong convergence theorem for the above problems are established. As an application, we solve a generalized mixed equilibrium problem, split Hammerstein integral equations, and a fixed-point problem, and provide a numerical example to support better findings of our result. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.librarian | pm2020 | en_ZA |
dc.description.uri | https://www.mdpi.com/journal/symmetry | en_ZA |
dc.identifier.citation | Abbas, M., Ibrahim, Y., Khan, A.R. et al 2019, 'Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spaces', Symmetry, vol. 11, no. 5, art. 722, pp. 1-21. | en_ZA |
dc.identifier.issn | 2073-8994 (online) | |
dc.identifier.other | 10.3390/sym11050722 | |
dc.identifier.uri | http://hdl.handle.net/2263/74919 | |
dc.language.iso | en | en_ZA |
dc.publisher | MDPI | en_ZA |
dc.rights | ©2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | en_ZA |
dc.subject | Split variational inclusion problem | en_ZA |
dc.subject | Generalized mixed equilibrium problem | en_ZA |
dc.subject | Fixed point problem | en_ZA |
dc.subject | Maximal monotone operator | en_ZA |
dc.subject | Left Bregman asymptotically nonexpansive mapping | en_ZA |
dc.subject | Uniformly convex and uniformly smooth Banach space | en_ZA |
dc.title | Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spaces | en_ZA |
dc.type | Article | en_ZA |