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Panadda Thongpaen, Warunun Inthakon, Attapol Kaewkhao, Suthep Suantai, Convex minimization problems based on an accelerated fixed point algorithm with applications to image restoration problems

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DOI: 10.23952/jnva.7.2023.1.06

Volume 7, Issue 1, 1 February 2023, Pages 87-101

 

Abstract. In this paper, a new accelerated fixed point algorithm for finding a common fixed point of two countable families of nonexpansive mappings in a Hilbert space is introduced. The weak convergence of the proposed algorithm is analyzed under some suitable conditions. We apply our proposed algorithm to solve the convex optimization problems in the form of the sum of two lower semi-continuous and convex functions. Some numerical experiments are conducted to demonstrate the efficiency of the proposed algorithm.

 

How to Cite this Article:
P. Thongpaen, W. Inthakon, A. Kaewkhao, S. Suantai, Convex minimization problems based on an accelerated fixed point algorithm with applications to image restoration problems, J. Nonlinear Var. Anal. 7 (2023), 87-101.