Common Fixed Point Theorems for Semigroups on Metric Spaces

@inproceedings{HUANG1999CommonFP,
  title={Common Fixed Point Theorems for Semigroups on Metric Spaces},
  author={YOUNG-YE HUANG and C. B. Hong},
  year={1999}
}
This paper consists of two main results. The first one shows that if S is a left reversible semigroup of selfmaps on a complete metric space (M,d) such that there is a gauge function φ for which d(f(x),f (y)) ≤φ(δ(Of (x,y))) for f ∈ S and x,y in M , where δ(Of (x,y)) denotes the diameter of the orbit of x,y under f , then S has a unique common fixed point… CONTINUE READING