TY - JOUR AU - Shobaky, E. El. AU - Ali, Sahar Mohamed AU - Ali, Montaser S. PY - 2007 TI - Abstract Fixed Points of Set-valued Mappings JF - Journal of Mathematics and Statistics VL - 3 IS - 2 DO - 10.3844/jmssp.2007.49.53 UR - https://thescipub.com/abstract/jmssp.2007.49.53 AB - We defined new concept of complete sequences of equivalence relations on a given abstract set on which no topology is considered, the concept of contraction mappings with respect to these sequences, proved the existence of a fixed point of a multivalued and in particular single valued mappings T on the given abstract set.