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 left( lambda ,rho right) -firmly nonexpansive mappings. We incorporate the two ideas to approximate fixed points of left( lambda ,rho right) -firmly nonexpansive mappings using the above-mentioned iterative process in modular function spaces.

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