scholarly journals Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces

2018 ◽  
Keyword(s):  
Fixed Points ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Common Fixed Points ◽  
Function Spaces ◽  
Convergence Theorems ◽  
Modular Function Spaces

scholarly journals On Monotone Asymptotic Pointwise Nonexpansive Mappings in Modular Function Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
B. A. Bin Dehaish
Keyword(s):  
Fixed Point ◽  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Function Space ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Function Spaces ◽  
Modular Function Space ◽  
Modular Function Spaces ◽  
Asymptotic Pointwise Nonexpansive Mapping

In this work, we investigate the existence of the fixed points of a monotone asymptotic pointwise nonexpansive mapping defined in a modular function space. Our result extends the fixed point result of Khamsi and Kozlowski.

scholarly journals Fibonacci–Mann Iteration for Monotone Asymptotically Nonexpansive Mappings in Modular Spaces

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 481 ◽  
Author(s):  
Buthinah Dehaish ◽  
Mohamed Khamsi
Keyword(s):  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Modular Function ◽  
Function Spaces ◽  
Mann Iteration ◽  
Modular Spaces ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Modular Function Spaces ◽  
Mann Iteration Process

In this work, we extend the fundamental results of Schu to the class of monotone asymptotically nonexpansive mappings in modular function spaces. In particular, we study the behavior of the Fibonacci–Mann iteration process, introduced recently by Alfuraidan and Khamsi, defined by

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