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.

scholarly journals Some Coupled Fixed Point Theorems in Modular Metric Space Using Caristi Type Contraction

2018 ◽  
Vol 7 (3.31) ◽  
pp. 102
Author(s):  
G Adilakshmi ◽  
G N.V.Kishore
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Modular Metric Spaces ◽  
Coupled Fixed Point Theorem ◽  
Type Contraction

In this paper, we obtained a unique common coupled fixed point theorem using Caristi type contraction in modular metric spaces. Also furnished an example to support our main results.  

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