Approximating fixed point of({\lambda},{\rho})-firmly nonexpansive mappings in modular function spaces
Functional Analysis
2021-11-23 v1
Abstract
In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a {\lambda}-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as ({\lambda},{\rho})-firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of ({\lambda},{\rho})-firmly nonexpansive mappings using the above mentioned iterative process in modular function spaces. We give an example to validate our results.
Cite
@article{arxiv.1802.00681,
title = {Approximating fixed point of({\lambda},{\rho})-firmly nonexpansive mappings in modular function spaces},
author = {Safeer Hussain Khan},
journal= {arXiv preprint arXiv:1802.00681},
year = {2021}
}