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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Khan, S.H. Approximating fixed points of \(\left( \lambda ,\rho \right) \)-firmly nonexpansive mappings in modular function spaces. Arab. J. Math. 7, 281–287 (2018). https://doi.org/10.1007/s40065-018-0204-x
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DOI: https://doi.org/10.1007/s40065-018-0204-x