A Common Random Fixed Point Theorem for Six Weakly Compatible Mappings in Hilbert Spaces

2012 ◽  
Vol 5 (4) ◽  
pp. 34-46
Author(s):  
R. A. Rashwan ◽  
D. M. Albaqeri
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Hilbert Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Random Fixed Point ◽  
Weakly Compatible ◽  
Random Fixed Point Theorem

scholarly journals A general fixed point theorem for four weakly compatible mappings satisfying an implicit relation

Filomat ◽  
2005 ◽  
pp. 45-51 ◽  
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Type A ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Combination Of Methods

In this paper, using a combination of methods used in [5], [14], [15] and [17] the results of [1, Theorems 2.2 and 2.3] and [15, Theorem 3] are improved by removing the assumptions of continuity and reciprocally continuity, relaxing compatibility and compatibility of type (A) to weakly compatibility and replacing the completeness of the space with a set of four alternative conditions for four mappings satisfying an implicit relation.

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