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Nonlinear iteration method for proximal split feasibility problems
Author(s) -
Shehu Yekini,
Iyiola Olaniyi S.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4644
Subject(s) - mathematics , convergence (economics) , hilbert space , nonlinear system , method of steepest descent , mathematical optimization , iterative method , scheme (mathematics) , algorithm , viscosity , descent (aeronautics) , mathematical analysis , physics , quantum mechanics , aerospace engineering , engineering , economics , economic growth
The purpose of this paper is to introduce iterative algorithm which is a combination of hybrid viscosity approximation method and the hybrid steepest‐descent method for solving proximal split feasibility problems and obtain the strong convergence of the sequences generated by the iterative scheme under certain weaker conditions in Hilbert spaces. Our results improve many recent results on the topic in the literature. Several numerical experiments are presented to illustrate the effectiveness of our proposed algorithm, and these numerical results show that our result is computationally easier and faster than previously known results on proximal split feasibility problem.