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

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.

Keywords

• common fixed point
• set-valued mapping
• weak commutativity.