Approximating fixed point 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. We give an example to validate our results.