On the strong convergence of a general-type Krasnosel’skii–Mann’s algorithm depending on the coefficients

Abstract

Let H be a Hilbert space, (Wn) n∈N a suitable family of mappings, S a nonexpansive mapping and D a strongly monotone operator. We are interested in the strong convergence of the general schemein dependence of the coefficients (αn) n∈N and (µn) n∈N .Mathematics Subject Classification. 47H09, 58E35, 47H10, 65J25.