International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 2, Pages 323-329
doi:10.1155/S0161171286000406

On common fixed points of weakly commuting mappings and set-valued mappings

S. Sessa1 and B. Fisher2

 1Istituto di Matematica, Facolta di Architettura, Universita di Napoli, Via Monteoliveto 3, Napoli 80134, Italy
2Department of Mathematics, The University, Leicester, UK
Received 7 September 1984

Abstract

Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author.