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 and 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. doi: 10.22075/ijnaa.2020.4609
MLA
Bagheri,M , and 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
M Bagheri and M Roohi, "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