Approximating fixed points of (lambda, rho)-firmly nonexpansive mappings in modular function spaces

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.