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Strong Convergence Theorems for Weighted Resolvent Average of a Finite Family of Monotone Operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 11، شماره 2، اسفند 2020، صفحه 469-481 اصل مقاله (431.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4609 | ||
| نویسندگان | ||
| Malihe Bagheri؛ Mehdi Roohi* | ||
| Department of Mathematics, Faculty of Sciences, Golestan University, P.O.Box. 155, Gorgan, Iran | ||
| تاریخ دریافت: 28 آذر 1397، تاریخ بازنگری: 07 آذر 1398، تاریخ پذیرش: 12 تیر 1399 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Weighted resolvent average؛ proximal point algorithm؛ projection algorithm؛ monotone operators | ||
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