scholarly journals Common Fixed Point Theorems Using the E.A. and CLR Properties in 2-Menger Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Balbir Singh ◽  
Vishal Gupta ◽  
Sanjay Kumar

First, we prove a common fixed point theorem using weakly compatible maps in 2-Menger space with t-norm of Hadzic type. Second, we prove a common fixed point theorem using the E.A. property along with weakly compatible maps. Further, we obtained a common fixed point theorem using the CLR property along with weakly compatible maps. At the end, we provide an application of our main theorem for four finite families of mappings.

Author(s):  
BD Pant ◽  
Sunny Chauhan

The purpose of this paper is to introduce the concept of weakly compatible maps in Menger space and prove a common fixed point theorem in this space.2010 Mathematics Subject Classification: 54H25.Keywords: Triangle norm; Menger space; Fixed point theorem; Weakly compatible mapsDOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5417 KUSET 2011; 7(1): 9-17


2016 ◽  
Vol 7 (3) ◽  
pp. 137
Author(s):  
Jitender Kumar ◽  
Sachin Vashistha

In this paper, we prove a common fixed point theorem using weakly compatible maps in partial metric space, which generalizes the result of Altun and Sadarangani  [12].


Sign in / Sign up

Export Citation Format

Share Document