The equivalence among new multistep iteration, s-iteration and some   other iterative schemes
  In this paper, we show that Picard, Krasnoselskij, Mann, Ishikawa, new two step, Noor, multistep, new multistep, SP and S-iterative schemes are equivalent for contractive-like operators. 
Faik Gursoy, Vatan Karakaya, Billy E. Rhoades
math.FA