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

M Bachar, Mohamed Amine Khamsi, M Bounkhel

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
JournalCarpathian Journal of Mathematics
StatePublished - 2019

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