scholarly journals Presic Type Fixed Point Theorem for Four Maps in Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-4 ◽  
Author(s):  
K. P. R. Rao ◽  
Sk. Sadik ◽  
S. Manro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible

We obtained a Presic type fixed point theorem for two pairs of jointly2k-weakly compatible maps in metric spaces. We also have given an example to illustrate our main 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 Some Common Fixed Point Theorems in Generalized Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Manoj Kumar ◽  
Pankaj Kumar ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Generalized Metric Spaces ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.

scholarly journals Weakly compatible maps in fuzzy metric spaces

1970 ◽  
Vol 7 (1) ◽  
pp. 28-37
Author(s):  
M Rangamma ◽  
G Mallikarjun Reddy ◽  
P Srikanth Rao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible ◽  
Commuting Maps ◽  
Reciprocal Continuity

In this paper, we prove common fixed point theorems for six self maps by using weakly compatibility, without appeal to continuity in fuzzy metric space. Our results extend, generalized several fixed point theorems on metric and fuzzy metric spaces.   Mathematics subject classification: 47H10, 54H25. Keywords : Compatible maps, R-weakly commuting maps, Reciprocal continuity, weakly compatible. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5419 KUSET 2011; 7(1): 28-37

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