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 Iterative Approximation of Fixed Point of Multivalued ρ-Quasi-Nonexpansive Mappings in Modular Function Spaces with Applications

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Godwin Amechi Okeke ◽  
Sheila Amina Bishop ◽  
Safeer Hussain Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theory ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Point Theory ◽  
Function Spaces ◽  
Initial Value ◽  
Iterative Approximation ◽  
Modular Function Spaces ◽  
Nonlinear Mappings

Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.

scholarly journals Convergence Results for Total Asymptotically Nonexpansive Monotone Mappings in Modular Function Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Maliha Rashid ◽  
Amna Kalsoom ◽  
Shao-Wen Yao ◽  
Abdul Ghaffar ◽  
Mustafa Inc
Keyword(s):  
Fixed Point ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Monotone Mappings ◽  
Modular Function Space ◽  
Convergence Results ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings ◽  
Extensive Class ◽  
Modular Function Spaces

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.

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 Some Fixed Point Theorems in Modular Function Spaces Endowed with a Graph

2020 ◽  
Vol 2020 ◽  
pp. 1-7 ◽  
Author(s):  
Jaauad Jeddi ◽  
Mustapha Kabil ◽  
Samih Lazaiz
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Nonexpansive Mappings ◽  
Modular Function ◽  
Function Spaces ◽  
Compact Sets ◽  
Modular Function Spaces

The aim of this paper is to give fixed point theorems for G-monotone ρ-nonexpansive mappings over ρ-compact or ρ-a.e. compact sets in modular function spaces endowed with a reflexive digraph not necessarily transitive. Examples are given to support our work.

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