Alternated Inertial Fixed Point Algorithms
Keywords:
Nonexpansive mapping, fixed point, alternated inertial term, weak convergence, primal dual splitting algorithm, Hilbert space.Abstract
We study a weakly convergent fixed point algorithm with alternated inertial step to approximate a common fixed point of a sequence of mappings of nonexpansive type in a real Hilbert space. We present convergence analysis for the proposed algorithm under mild assumptions. Then, we apply the results to iterative algorithms of type alternating projection, forward-backward and primal-dual
splitting and derive some convergence results. To demonstrate the effectiveness of our proposed algorithm, we present numerical comparisons of the algorithm with the existing ones.
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