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

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2418
Author(s):  
Afrah A. N. Abdou ◽  
Mohamed A. Khamsi
Keyword(s):  
Variable Exponent ◽  
Nonexpansive Mappings ◽  
Periodic Points ◽  
Sequence Spaces ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Firmly Nonexpansive ◽  
Nonconvex Domains

In this work, we investigate the existence of periodic points of mappings defined on nonconvex domains within the variable exponent sequence spaces ℓp(·). 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.

scholarly journals Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains

2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Zalman Balanov ◽  
Norimichi Hirano ◽  
Wiesław Krawcewicz ◽  
Fangfang Liao ◽  
Adrian Murza
Keyword(s):  
Periodic Solutions ◽  
Second Order ◽  
Nonconvex Domains
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