The modified inertial iterative algorithm for solving split variational inclusion problem for multi-valued quasi nonexpansive mappings with some applications

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Author list: Phairatchatniyom P., Kumam P., Cho Y.J., Jirakitpuwapat W., Sitthithakerngkiet K.

Publisher: MDPI

Publication year: 2019

Journal: Mathematics (2227-7390)

Volume number: 7

Issue number: 6

ISSN: 2227-7390

eISSN: 2227-7390

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85069960154&doi=10.3390%2fMATH7060560&partnerID=40&md5=c16533f4f3c42c400d4aa08397b55123

Languages: English-Great Britain (EN-GB)

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Abstract

Based on the very recent work by Shehu and Agbebaku in Comput. Appl. Math. 2017, we introduce an extension of their iterative algorithm by combining it with inertial extrapolation for solving split inclusion problems and fixed point problems. Under suitable conditions, we prove that the proposed algorithm converges strongly to common elements of the solution set of the split inclusion problems and fixed point problems. ฉ 2019 by the authors.

Keywords

Hilbert space, Multi-valued quasi-nonexpasive mappings, Split variational inclusion problem, Variational inequality problem