An iterative approximation scheme for solving a split generalized equilibrium, variational inequalities and fixed point problems

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Publication Details

Author list: Sitthithakerngkiet K., Deepho J., Martํnez-Moreno J., Kumam P.

Publisher: Taylor and Francis Group

Publication year: 2017

Journal: International Journal of Computer Mathematics (0020-7160)

Volume number: 94

Issue number: 12

Start page: 2373

End page: 2395

Number of pages: 23

ISSN: 0020-7160

eISSN: 1029-0265

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85012870361&doi=10.1080%2f00207160.2017.1283409&partnerID=40&md5=f638294f30f85cc6b6af17b7a6dd7291

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we consider a common solution of three problems in Hilbert spaces including the split generalized equilibrium problem, the variational inequality problem and fixed point problem. For finding the solution, we present a new iterative method and prove the strongly convergence theorem under mild conditions. Moreover, some numerical examples are given in the last section. ฉ 2017 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

non-expansive mapping