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The Opial condition in variable exponent sequence spaces l(p)((.)) with applications
Journal article   Peer reviewed

The Opial condition in variable exponent sequence spaces l(p)((.)) with applications

Mostafa Bachar, Mohamed A. Khamsi and Messaoud Bounkhel
Carpathian Journal of Mathematics, Vol.35(3), pp.273-279
01/01/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we show an analogue to the Opial property for the coordinate-wise convergence in the variable exponent sequence space l(p(.)). This property allows us to prove a fixed point theorem for the mappings which are nonexpansive in the modular sense.

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