scholarly journals Common Fixed Point Theorem in 2-Menger Space via (S-B) Property

2019 ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Menger Space ◽  
Common Fixed Point Theorem

scholarly journals A fixed point theorem in Menger space

1970 ◽  
Vol 7 (1) ◽  
pp. 9-17
Author(s):  
BD Pant ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Subject Classification ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Menger Space ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

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

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
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Menger Space ◽  
Weakly Compatible ◽  
Menger Spaces ◽  
Common Fixed Point Theorem

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.

scholarly journals A contraction theorem in menger space

2010 ◽  
Vol 42 (1) ◽  
pp. 59-68
Author(s):  
B. D. Pant ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Type Condition ◽  
Menger Space ◽  
Contraction Theorem ◽  
Contraction Type ◽  
Common Fixed Point Theorem

The main purpose of this paper is to prove common fixed point theorem satisfying a new contraction type condition in Menger space.

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