In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space \ell_{p(\cdot)}. This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

 

 

Additional Information

Author(s)

Bachar, Mostafa, Bounkhel, Messaoud, Khamsi, Mohamed A.

DOI

https://doi.org/10.37193/CJM.2019.03.02