Viscosity approximation method for monotone operators in Hadamard spaces

نویسندگان
Khadem, Amene ID 1
Ranjbar, Sajad ID 2
Heydari, Mohammad Taghi ID 3

1 Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran

2 Department of Mathematics, College of Sciences, Higher Education Center of Eghlid, Eghlid, Iran

3 Department of Mathematics, College of Sciences, Yasouj University, Yasouj, Iran

doi
10.22075/ijnaa.2021.21377.2255
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