Approximating fixed points of $$\left( \lambda ,\rho \right) $$ λ , ρ -firmly nonexpansive mappings in modular function spaces
Safeer Hussain Khan · Arabian Journal of Mathematics · 2018
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.