  In this paper, we introduce a commutative mappings satisfying the class of
generalized non-expansive mappings which is wider than the class of mappings
satisfying the condition (C), so called Condition B gamma, mu. The results
obtained in this paper extend and generalized non-expansive mappings and other
results in this direction. Different properties and some fixed point results
for the mappings are obtained here.
  Keywords: Non expansive mappings, Condition (C), Condition B gamma mu,
Commuting mappings, Fixed point.
