Solving a class of nonlinear matrix equations via the coupled fixed point theorem

2015 ◽  
Vol 259 ◽  
pp. 364-373
Author(s):  
Mohammad Sadegh Asgari ◽  
Baharak Mousavi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Coupled Fixed Point ◽  
Matrix Equations ◽  
Coupled Fixed Point Theorem ◽  
Nonlinear Matrix

scholarly journals Cyclic Coupled Fixed Point Result Using Kannan Type Contractions

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Pranati Maity
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Coupled Fixed Point ◽  
Fixed Point Result ◽  
Coupled Fixed Point Theorem ◽  
Type Contraction

Putting several existing ideas together, in this paper we define the concept of cyclic coupled Kannan type contraction. We establish a strong coupled fixed point theorem for such mappings. The theorem is supported with an illustrative example.

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