Stability of tripled fixed point iteration procedures for monotone mappings

The new concept of tripled fixed point introduced recently by Berinde and Borcut (Nonlinear Anal. 74:4889–4897, 2011) directed to several researches on this subject, in partially metric spaces and in cone metric spaces. In this paper, we introduce the notion of stability definition of tripled fixed point iteration procedures and establish stability results for monotone mappings which satisfy various contractive conditions. Our results extend and complete some existing results in the literature.