Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spaces

dc.contributor.authorAbbas, Mujahid
dc.contributor.authorIbrahim, Yusuf
dc.contributor.authorKhan, Abdul Rahim
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2020-06-09T14:24:57Z
dc.date.available2020-06-09T14:24:57Z
dc.date.issued2019-05
dc.description.abstractThe 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.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianpm2020en_ZA
dc.description.urihttps://www.mdpi.com/journal/symmetryen_ZA
dc.identifier.citationAbbas, 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.issn2073-8994 (online)
dc.identifier.other10.3390/sym11050722
dc.identifier.urihttp://hdl.handle.net/2263/74919
dc.language.isoenen_ZA
dc.publisherMDPIen_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.subjectSplit variational inclusion problemen_ZA
dc.subjectGeneralized mixed equilibrium problemen_ZA
dc.subjectFixed point problemen_ZA
dc.subjectMaximal monotone operatoren_ZA
dc.subjectLeft Bregman asymptotically nonexpansive mappingen_ZA
dc.subjectUniformly convex and uniformly smooth Banach spaceen_ZA
dc.titleStrong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spacesen_ZA
dc.typeArticleen_ZA

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