Journal
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS
Volume 5, Issue 5, Pages 777-793Publisher
BIEMDAS ACAD PUBLISHERS INC
DOI: 10.23952/jnva.5.2021.5.10
Keywords
Fixed point problem; Demicontractive mappings; Split common problem; Hilbert spaces
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Funding
- International Mathematical Union Breakout Graduate Fellowship (IMU-BGF) Award
- National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers [119903]
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In this paper, we studied the split common fixed point problem for demicontractive mappings in real Hilbert spaces and proposed a solution with self-adaptive step size. Numerical examples demonstrated the competitive advantage of our algorithm over existing ones. Our results extend, complement, and generalize many recent related results in the literature.
In this paper, we study the split common fixed point problem for demicontractive mappings in real Hilbert spaces. We propose an alternative regularization scheme with a self-adaptive step size for solving the problem and prove its strong convergence. Furthermore, we apply our main results to split feasibility problems, split variational inequality problems and signal processing. Several numerical examples show that our algorithm has some competitive advantage over some existing algorithms in the literature. Our results extend, complement, and generalize many recent related results in the literature.
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