Open AccessOn common fixed points in generalized Menger spaces
Author(s) -
Salwa Salman Abed,
Hadeel Hussein Luaibi
Publication year - 2016
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v5i4.6721
Subject(s) - mathematics , lemma (botany) , cauchy sequence , expansive , metric space , fixed point , complete metric space , pure mathematics , extension (predicate logic) , fixed point theorem , space (punctuation) , type (biology) , discrete mathematics , mathematical analysis , ecology , linguistics , philosophy , compressive strength , materials science , poaceae , computer science , composite material , biology , programming language
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.