scholarly journals Banach operator pairs and common fixed points in modular function spaces

2011 ◽  
Vol 2011 (1) ◽  
pp. 75 ◽  
Author(s):  
N Hussain ◽  
MA Khamsi ◽  
A Latif
Keyword(s):  
Fixed Points ◽  
Modular Function ◽  
Common Fixed Points ◽  
Function Spaces ◽  
Modular Function Spaces

Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

2019 ◽  
Vol 26 (1/2) ◽  
pp. 75-93
Author(s):  
Godwin Amechi Okeke ◽  
Safeer Hussain Khan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Modular Function ◽  
Function Spaces ◽  
Multivalued Mappings ◽  
Contractive Mappings ◽  
Modular Function Spaces

The purpose of this paper is to extend the recent results of Okeke et al. (2018) to the class of multivalued ρ-quasi-contractive mappings in modular function spaces. We approximate fixed points of this class of nonlinear multivalued mappings in modular function spaces. Moreover, we extend the concepts of T-stability, almost T-stability and summably almost T-stability to modular function spaces and give some results.

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.

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