This paper is devoted to finding a zero point of a weighted resolvent average of a finite family of monotone operators. A new proximal point algorithm and its convergence analysis is given. It is shown that the sequence generated by this new algorithm, for a finite family of monotone operators converges strongly to the zero point of their weighted resolvent average. Finally, our results are illustrated by some numerical examples.
Bagheri, M. & Roohi, M. (2020). Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators. International Journal of Nonlinear Analysis and Applications, 11(2), 469–481. https://doi.org/10.22075/ijnaa.2020.4609
MLA
Bagheri, M., & Roohi, M. "Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators", International Journal of Nonlinear Analysis and Applications, 11, 2, 2020, 469–481. doi: 10.22075/ijnaa.2020.4609
HARVARD
Bagheri, M., & Roohi, M. (2020). 'Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators', International Journal of Nonlinear Analysis and Applications, 11(2), pp. 469–481. doi: 10.22075/ijnaa.2020.4609
CHICAGO
Bagheri, M. & Roohi, M., "Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators." International Journal of Nonlinear Analysis and Applications, 11 2 (2020): 469–481, doi: 10.22075/ijnaa.2020.4609
VANCOUVER
Bagheri M., Roohi M. Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators. IJNAA. 2020;11(2):469–481. doi: 10.22075/ijnaa.2020.4609
International Journal of Nonlinear Analysis and Applications