TY - JOUR
T1 - Approximating fixed points of (λ, ρ) -firmly nonexpansive mappings in modular function spaces
AU - Khan, Safeer H
PY - 2018/12/1
Y1 - 2018/12/1
N2 - 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.].
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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U2 - 10.1007/s40065-018-0204-x
DO - 10.1007/s40065-018-0204-x
M3 - Article
SN - 2193-5343
VL - 7
SP - 281
EP - 287
JO - Arabian Journal of Mathematics
JF - Arabian Journal of Mathematics
IS - 4
ER -