scholarly journals On Some Generalizations of Commuting Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Mohammad Ali Alghamdi ◽  
Stojan Radenović ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Unique Point ◽  
Weakly Compatible ◽  
Point Of Coincidence ◽  
The Given ◽  
Commuting Mappings ◽  
Unique Common Fixed Point

It is shown that occasionallyJHoperators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.

scholarly journals A result on Banach Space using Property E.A

2020 ◽  
Vol 13 (44) ◽  
pp. 4490-4499
Author(s):  
V Srinivas ◽  
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Weaker Conditions ◽  
Common Fixed Point Theorem ◽  
Space Method ◽  
Unique Common Fixed Point

Objective/Aim: To establish the existence of common fixed point theorem for four self-mappings in Banach space. Method: This method includes using weaker conditions like property E.A and weakly compatible mappings. Findings: Unique common fixed point is generated using different conditions. This result is supported by the provision of a suitable example.Novelty/Improvement: The concept of property E.A along with weakly compatible mappings is employed and is weaker than the concept of continuity and compatibility. Keywords: Fixed point; metric space; Normed space; Banach space; EA property; weakly compatible mappings

scholarly journals Common fixed points under contractive conditions of integral type

2020 ◽  
Vol 28 (1) ◽  
pp. 41-57
Author(s):  
Hakima Bouhadjera
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

AbstractIn this paper, we give some common fixed point theorems for a class of occasionally weakly compatible mappings satisfying contractive conditions of integral type. Our results generalize a host of previously theorems. We also present some illustrative examples which support our main results and show the applicability and validity of these results.

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