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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 7
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Articles

A theorem of variational inclusion problems and various nonlinear mappings

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Pages 1172-1186 | Received 19 Nov 2016, Accepted 14 Mar 2017, Published online: 31 Mar 2017
 

ABSTRACT

In this paper, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of a finite family of variational inclusion problems in Hilbert spaces. Moreover, we utilize our main result to fixed point problems of various nonlinear mappings and the set of solutions of variational inclusion problems.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the Research Administration Division of King Mongkut’s Institute of Technology Ladkrabang.

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