... below). For information about publishing your research in Fixed Point Theory and Applications go tohttp://www.fixedpointtheoryandapplications.com/authors/instructions/ For information about other ... byφ(t)=13t for t ∈ [0, ∞), and ϕ :[0, ∞) → [0, ∞) byϕ(t)=12t for t ∈ [0, ∞).Then f is a cyclic weaker φ ◦ ϕ-contraction and (0, 0, 0) is the unique fixedpoint.3 Fixed point theory for the cyclic ... contractive and (X, d) is complete, then f has a unique fixed point in X. It is well known that the Banach contraction principle [1] is a veryuseful and classical tool in nonlinear analysis. In 1969,...