Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces

Abstract

In this paper, we establish the weak and strong convergence theorems for a \(k\)-strictly asymptotically pseudo-contractive mapping in the framework of Hilbert spaces. Our result improve and extend the corresponding result of Acedo and Xu, Liu, Marino and Xu, Osilike and Akuchu, and some others.

Keywords

• strictly asymptotically pseudo-contractive mapping
• implicit iteration scheme
• common fixed point
• strong convergence
• weak convergence
• Hilbert space