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04-Information Sciences Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 13 > No. 5

 
   

Fixed point approaches for cyclic contraction mappings in C∗-algebra-valued b-metric spaces

PP: 19-37
doi:10.18576/isl/130502
Author(s)
Rashwan A. Rashwan, Saleh Omran, Hasanen A. Hammad, Mohamed Gamal,
Abstract
In this manuscript, we concentrated on extracting some fixed point results for cyclic contraction mappings under mild contractive conditions in the context of C∗-algebra. These results are considered a generalization and extension of some results in the scientific literature such as the results of Banach, Kannan and Chatterjea in the setting of C∗-algebra valued b-metric spaces. We present some definitions, supportive examples and an application related to nonlinear integral equation to support our main results.

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