An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

Abstract

Abstract In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative algorithm. Mathematics Subject Classification (2000) 47H09 · 47H10 · 47J25

Keywords

• Asymptotically nonexpansive mapping
• common fixed point
• implicit iterative algorithm
• generalized asymptotically nonexpansive mapping