New common fixed point theorems of gregus type for r-weakly commuting mappings in 2-metric spaces

Abstract

In this paper we extend and generalize a theorem of M. R. Singh, L. S. Singh and P. P. Murthy (Common fixed points of set valued mappings, Int. J. Math. Sci., 25 (6), 411-415, 2001) in a 2-metric space with a Gregus type condition, and give some common fixed point theorems of set-valued maps in 2-metric spaces