Abstract
In this paper we consider a new general iterative method for solving the split common fixed point problem and variational inclusion problem. It entails finding a point which belongs to the set of common fixed points of a finite family of demimetric mappings and the common zero point set of a family of monotone operators in a Hilbert space such that its image under a linear transformation belongs to the set of fixed points of a demimetric mapping in a uniformly convex and smooth Banach space in the image space. Strong convergence theorem is established under some suitable conditions. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors.
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The author would like to thank the referees for their comments and suggestions on improving an earlier version of this paper.
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Dedicated to Professor Ali Abkar on the occasion of His 55th Birthday.
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Eslamian, M. A general iterative method for split common fixed point problem and variational inclusion problem. Japan J. Indust. Appl. Math. 35, 591–612 (2018). https://doi.org/10.1007/s13160-017-0297-1
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DOI: https://doi.org/10.1007/s13160-017-0297-1