Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings

Abstract

In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned scheme and mappings in real Banach spaces. Our results extend and generalize several results from the current existing literature.

Keywords

• asymptotically nonexpansive mapping
• total asymptotically nonexpansive non-self mapping
• hybrid mixed type iteration scheme
• common fixed point
• Banach space
• strong convergence