International Journal of Mathematics and Mathematical Sciences 
Volume 7 (1984), Issue 3, Pages 429-434
doi:10.1155/S0161171284000466

Coincidence theorems for some multivalued mappings

B. E. Rhoades,1 S. L. Singh,2 and Chitra Kulshrestha2

1Department of Mathematics, Indiana University, USA
2Department of Mathematics, L.M.S. Government Postgraduate College, Rishikesh, Dehra Dun 249201, India

Received 2 September 1983

Abstract

Two coincidence theorems in a metric space are proved for a multi-valued mapping that commutes with a single-valued mapping and satisfies a general multi-valued contraction type condition.