... x0)).By the condition (3), {n(d(x0, x1))}nÎNis decreasing, it must converges to some h ≥0. We claim that h = 0. On the contrary, assume that h > 0. Then, by the definition of the ... it must converges to some c ≥ 0. If c > 0, then by the above inequalities,Chen Fixed Point Theory and Applications 2011, 2011:72http://www.fixedpointtheoryandapplications.com/content/2011/1/72Page ... ℝ+is a continuous function such that ψ(x, y)=0if and only if x = y =0.In [6,7], the authors proved some fixed point results for the C-contractions. In thissection, we present some fixed...