Weak and strong convergence theorems for $m$-generalized hybrid mappings in Hilbert spaces

Abstract

In this paper, we prove a weak convergence theorem of Ishikawa'stype for $m$-generalized hybrid mappings in a Hilbert space. Further,by using a new modification of Ishikawa iteration, weprove a strong convergence theorem for $m$-generalized hybridmappings in a Hilbert space.