On common fixed points in generalized Menger spaces

Salwa Abed, Hadeel Hussein Luaibi
2016 International Journal of Applied Mathematical Research  
R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.
doi:10.14419/ijamr.v5i4.6721 fatcat:z4wln5ldgnfazibhuhgqetlc2q