Periodic Points of Modular Firmly Mappings in the Variable Exponent Sequence Spaces ? p (·)

Afrah A. N. Abdou and Mohamed A. Khamsi
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Afrah A. N. Abdou: Department of Mathematics, Faculty of Sciences, University of Jeddah, Jeddah 21589, Saudi Arabia
Mohamed A. Khamsi: Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates

Mathematics, 2021, vol. 9, issue 19, 1-8

Abstract: In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ? p ( · ) . In particular, we consider the case of modular firmly nonexpansive and modular firmly asymptotically nonexpansive mappings. These kinds of results have never been obtained before.

Keywords: electrorheological fluids; fixed point; modular firmly nonexpansive mapping; modular vector spaces; periodic point; strictly convex; uniformly convex (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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