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Viscosity approximation method for monotone operators in Hadamard spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 85، دوره 13، شماره 2، مهر 2022، صفحه 1023-1032 اصل مقاله (395.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21377.2255 | ||
| نویسندگان | ||
| Mohammad Taghi Heydari* 1؛ Amene Khadem2؛ Sajad Ranjbar3 | ||
| 1Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran | ||
| 2Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran | ||
| 3Department of Mathematics, College of Sciences, Higher Education Center of Eghlid, Eghlid, Iran | ||
| تاریخ دریافت: 28 شهریور 1399، تاریخ بازنگری: 14 مرداد 1400، تاریخ پذیرش: 31 مرداد 1400 | ||
| چکیده | ||
| In this article, we suggest and analyze a viscosity approximation method to a zero of a monotone operator in the setting of Hadamard spaces. We derive the convergence of sequences generated by the proposed viscosity methods under some suitable assumptions. Also, some applications to solve the variational inequality, optimization and fixed point problems are given on Hadamard spaces. | ||
| کلیدواژهها | ||
| Hadamard space؛ proximal point algorithm؛ Viscosity approximation method؛ Monotone operators؛ Convex minimization | ||
| مراجع | ||
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