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Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method

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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.… Click to show full abstract

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.

Keywords: split feasibility; inertial extrapolation; proximal split; split; problem

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017

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