Approximating fixed points of (λ, ρ) -firmly nonexpansive mappings in modular function spaces

Safeer H Khan

doi:10.1007/s40065-018-0204-x

Approximating fixed points of (λ, ρ) -firmly nonexpansive mappings in modular function spaces

Safeer H Khan

Mathematics and Statistics

Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a λ-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as (λ, ρ) -firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of (λ, ρ) -firmly nonexpansive mappings using the above-mentioned iterative process in modular function spaces. [Figure not available: see fulltext.].

Original language	English
Pages (from-to)	281-287
Number of pages	7
Journal	Arabian Journal of Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s40065-018-0204-x
State	Published - Dec 1 2018

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AB - In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a λ-firmly nonexpansive mapping from Banach spaces to modular function spaces. We call such mappings as (λ, ρ) -firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of (λ, ρ) -firmly nonexpansive mappings using the above-mentioned iterative process in modular function spaces. [Figure not available: see fulltext.].

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Approximating fixed points of (λ, ρ) -firmly nonexpansive mappings in modular function spaces

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