carpathian_2024_40_3_569_579_001

Asymptotic Regularity of Generalized Averaged Mappings in (M,K,ψ)-HR-Ćirić-Reich-Rus Contractions


Anjum, Rizwan and Safdar, Hira 


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carpathian_2024_40_3_569_579

The paper investigates a new type of contraction called (M, K, \psi)-HR-Ćirić-Reich-Rus contractions, which extends the existing research on Ćirić-Reich-Rus contraction mappings. We prove fixed point theorems by enriching (M,K,\psi)-HR-Ćirić-Reich-Rus contractions with respect to the asymptotic regularity of generalized averaged mappings. These mappings are denoted as T_\phi = (1-\phi)I + \phi T, where I is the identity map and \phi is a function from a normed space to real numbers.

 

 

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Author(s)

Anjum, Rizwan , Safdar, Hira 

DOI

https://doi.org/10.37193/CJM.2024.03.01