Remark on a Fixed-Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·)

Mohamed A. Khamsi, Osvaldo D. Méndez

Research output: Contribution to journalArticlepeer-review

Abstract

In a personal communication, Prof. Domínguez Benavides noted that a fixed-point theorem for modular nonexpansive mappings in (Formula presented.) obtained under the assumptions (Formula presented.) and the property (Formula presented.) satisfied by (Formula presented.) will force (Formula presented.). Therefore, the conclusion is well known. In this note, we establish said conclusion without the assumption (Formula presented.).

Original languageBritish English
Article number157
JournalMathematics
Volume11
Issue number1
DOIs
StatePublished - Jan 2023

Keywords

  • electrorheological fluid
  • fixed point
  • modular strict convexity
  • modular uniform convexity
  • modular vector space
  • Nakano modular

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