@article {10.3844/jmssp.2007.49.53, article_type = {journal}, title = {Abstract Fixed Points of Set-valued Mappings}, author = {Shobaky, E. El. and Ali, Sahar Mohamed and Ali, Montaser S.}, volume = {3}, year = {2007}, month = {Jun}, pages = {49-53}, doi = {10.3844/jmssp.2007.49.53}, url = {https://thescipub.com/abstract/jmssp.2007.49.53}, abstract = {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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }