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

Mathematics

Mohamed A. Khamsi¹  Afrah A. N. Abdou² 

[1] Department of Applied Mathematics and Sciences, Khalifa University, Abu Dhabi 127788, United Arab Emirates;Department of Mathematics, Faculty of Sciences, University of Jeddah, Jeddah 21589, Saudi Arabia;

关键词: electrorheological fluids;    fixed point;    modular firmly nonexpansive mapping;    modular vector spaces;    periodic point;    strictly convex;   

DOI  :  10.3390/math9192418

来源: DOAJ

【 摘 要 】

In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ${\ell }_{p(·)}$. 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.

【 授权许可】

Unknown