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arXiv · 1802.00681

Approximating fixed point of({\lambda},{\rho})-firmly nonexpansive mappings in modular function spaces

Safeer Hussain Khan
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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.

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Safeer Hussain Khan. 2018-02-02. Approximating fixed point of({\lambda},{\rho})-firmly nonexpansive mappings in modular function spaces. https://doi.org/10.1007/s40065-018-0204-x

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