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

scholarly journals Numerical methods for constructing suboptimal packings of nonconvex domains with curved boundary

2020 ◽  
Vol 27 (4) ◽  
pp. 58-79
Author(s):  
P. D. Lebedev ◽  
V. N. Ushakov ◽  
A. A. Uspenskii
Keyword(s):  
Numerical Methods ◽  
Curved Boundary ◽  
Nonconvex Domains

Numerical Methods for Constructing Suboptimal Packings of Nonconvex Domains with Curved Boundary

2020 ◽  
Vol 14 (4) ◽  
pp. 681-692
Author(s):  
P. D. Lebedev ◽  
V. N. Ushakov ◽  
A. A. Uspenskii
Keyword(s):  
Numerical Methods ◽  
Curved Boundary ◽  
Nonconvex Domains

scholarly journals A Poincaré–Birkhoff theorem for Hamiltonian flows on nonconvex domains

2019 ◽  
Vol 129 ◽  
pp. 131-152 ◽  
Author(s):  
Alessandro Fonda ◽  
Antonio J. Ureña
Keyword(s):  
Birkhoff Theorem ◽  
Hamiltonian Flows ◽  
Nonconvex Domains

scholarly journals Critical points of solutions for the mean curvature equation in strictly convex and nonconvex domains

2019 ◽  
Vol 233 (1) ◽  
pp. 311-333 ◽  
Author(s):  
Haiyun Deng ◽  
Hairong Liu ◽  
Long Tian
Keyword(s):  
Critical Points ◽  
Mean Curvature ◽  
Strictly Convex ◽  
Curvature Equation ◽  
Mean Curvature Equation ◽  
The Mean ◽  
Nonconvex Domains
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