scholarly journals Some common fixed point theorems for four self-mappings satisfying a general contractive condition

2021 ◽  
Vol 39 (2) ◽  
pp. 181-194
Author(s):  
Manoj Kumar ◽  
Rashmi Sharma ◽  
Serkan Araci
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

In the paper, we derive a general case for four weakly compatible self maps satisfying a general contractive condition due to the same method introduced by  Altun et al. [2]. We make use of such a study to prove common fixed point theorems for weakly compatible maps along with  E.A. and (CLR) properties.

scholarly journals Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Cristina Di Bari ◽  
Calogero Vetro
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Compatible Mappings ◽  
Integral Type ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

We introduce a new generalized contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for weakly compatible mappings satisfying a contractive condition of integral type.

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 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.

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