scholarly journals Fixed Point Theorems in Partial Metric Spaces for Four Weakly Compatible Maps

2021 ◽  
Vol 9 (3) ◽  
pp. 38-41
Author(s):  
Reena CN ◽  
Balbir Singh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Partial Metric Spaces

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

scholarly journals Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation

Filomat ◽  
2016 ◽  
Vol 30 (10) ◽  
pp. 2695-2709
Author(s):  
Manoj Kumar ◽  
Pankaj Kumar ◽  
Sanjay Kumar ◽  
Serkan Araci
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Urysohn Integral Equations ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. properties that generalizes the results of Sintunavarat et al. [15]. Further, we apply our results to find the solution of Urysohn integral equations x(t) = ?b,a K1(t,s,x(s))ds + g(t), x(t) = ?b,a K2(t,s,x(s))ds + h(t), where t ? [a,b]? R,x,g,h ? X and K1,K2: [a,b] x [a,b] x Rn ? Rn.

scholarly journals Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps along withCLRgProperty in Fuzzy Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Manish Jain ◽  
Kenan Tas ◽  
Sanjay Kumar ◽  
Neetu Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible

The aim of this paper is to extend the notions of E.A. property andCLRgproperty for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.

scholarly journals FIXED POINT THEOREMS FOR TWO PAIRS OF MAPPINGS IN PARTIAL METRIC SPACES

2017 ◽  
pp. 969
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Partial Metric ◽  
Compatible Mappings ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Partial Metric Spaces

In this paper, a general fixed point theorem for two pairs of weakly compatible mappings satisfying a - implicit relation different from the type from [16] is proved. As applications, we obtain the sufficient conditions for the existence of fixed points for a sequence of mappings in partial metric spaces.

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