total asymptotically nonexpansive mappings
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2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Amna Kalsoom ◽  
Maliha Rashid ◽  
Tian-Chuan Sun ◽  
Amna Bibi ◽  
Abdul Ghaffar ◽  
...  

In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.


2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Maliha Rashid ◽  
Amna Kalsoom ◽  
Shao-Wen Yao ◽  
Abdul Ghaffar ◽  
Mustafa Inc

In this article, we consider an extensive class of monotone nonexpansive mappings. We use S -iteration to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the settings of modular function space.


2021 ◽  
Vol 6 (5) ◽  
pp. 4758-4770
Author(s):  
Izhar Uddin ◽  
◽  
Sabiya Khatoon ◽  
Nabil Mlaiki ◽  
Thabet Abdeljawad ◽  
...  

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4165-4176 ◽  
Author(s):  
Amna Kalsoom ◽  
Hafiz Fukhar-Ud-Din ◽  
Sara Najib

In this paper, we extend the proximal point algorithm proposed by Chang et al.[8] for total asymptotically nonexpansive mapping in CAT(0) spaces. We also demonstrate the ?-convergence and strong convergence to a common element of the set of minimizers of a convex function and the set of fixed points of the Ces?ro type mean of total asymptotically nonexpansive mappings in CAT(0) spaces.


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