A new general iterative scheme for split variational inclusion and fixed point problems of k-strict pseudo-contraction mappings with convergence analysis

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Publication Details

Author list: Deepho J., Thounthong P., Kumam P., Phiangsungnoen S.

Publisher: Elsevier

Publication year: 2017

Journal: Journal of Computational and Applied Mathematics (0377-0427)

Volume number: 318

Start page: 293

End page: 306

Number of pages: 14

ISSN: 0377-0427

eISSN: 1879-1778

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85000624521&doi=10.1016%2fj.cam.2016.09.009&partnerID=40&md5=4cc5a987e8500e243329443f7f67c497

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of split variational inclusion problem and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Strong convergence theorem is established under some suitable conditions in a real Hilbert space, which also solves some variational inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. Finally, some examples to study the rate of convergence and some illustrative numerical examples are presented. ฉ 2016 Elsevier B.V.

Keywords

k-strict pseudo-contractions