Journal
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
Volume 19, Issue 4, Pages 2483-2510Publisher
SPRINGER BASEL AG
DOI: 10.1007/s11784-017-0435-z
Keywords
Proximal split feasibility problems; Moreau-Yosida approximate; inertial term; weak convergence
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Funding
- Alexander von Humboldt Foundation, Bonn
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In this paper, we present a proximal split feasibility algorithm with an additional inertial extrapolation term for solving a proximal split feasibility problem under weaker conditions on the step sizes. The two convex and lower semi continuous objective functions are assumed to be non-smooth. Some applications to split inclusion problem and split equilibrium problem are given. We demonstrate the efficiency of the proposed algorithm with numerical experiments.
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