Asymptotic behavior of a resolvent for a sequence of monotone operators in a complete geodesic space (Study on Nonlinear Analysis and Convex Analysis)

Abstract

The notion of resolvent is used to solve various problems in nonlinear analysis and convex analysis. In particular, resolvents defined for a maximal monotone operator are deeply related with many problems. In this paper, we consider asymptotic behavior of a resolvent for a sequence of maximal monotone operators on a complete geodesic space.