scholarly journals Some Continuation results in Uniquely Geodesic Spaces

2021 ◽  
Vol 1850 (1) ◽  
pp. 012046
Author(s):  
V.V. Sreya ◽  
P. Shaini
Keyword(s):  
Geodesic Spaces

scholarly journals Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth have Finitely Generated Fundamental Groups

2015 ◽  
Vol 58 (4) ◽  
pp. 787-798 ◽  
Author(s):  
Yu Kitabeppu ◽  
Sajjad Lakzian
Keyword(s):  
Diameter Growth ◽  
Fundamental Groups ◽  
Finitely Generated ◽  
Finite Generation ◽  
Alexandrov Spaces ◽  
Geodesic Spaces ◽  
Special Case ◽  
Linear Diameter

AbstractIn this paper, we generalize the finite generation result of Sormani to non-branching RCD(0, N) geodesic spaces (and in particular, Alexandrov spaces) with full supportmeasures. This is a special case of the Milnor’s Conjecture for complete non-compact RCD(0, N) spaces. One of the key tools we use is the Abresch–Gromoll type excess estimates for non-smooth spaces obtained by Gigli–Mosconi.

scholarly journals Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces

2019 ◽  
Vol 39 (1) ◽  
pp. 157-183
Author(s):  
Qing Liu ◽  
◽  
Atsushi Nakayasu ◽  
Keyword(s):  
Geodesic Spaces ◽  
Jacobi Equations

scholarly journals A one-step-two-mappings iterative scheme for multi-valued maps in W-hyperbolic spaces

Filomat ◽  
2018 ◽  
Vol 32 (4) ◽  
pp. 1403-1411 ◽  
Author(s):  
Birol Gunduz ◽  
Sezgin Akbulut
Keyword(s):  
Banach Spaces ◽  
Hyperbolic Space ◽  
Iterative Scheme ◽  
Hyperbolic Spaces ◽  
Uniformly Convex ◽  
Convergence Theorems ◽  
Nonexpansive Maps ◽  
Uniformly Convex Banach Spaces ◽  
One Step ◽  
Geodesic Spaces

In this paper, we study a one-step iterative scheme for two multi-valued nonexpansive maps in W-hyperbolic spaces. We establish strong and ?-convergence theorems for the proposed algorithm in a uniformly convex W-hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces as well as CAT(0) spaces. Our new results are also valid in geodesic spaces.

Extension Results for Lipschitz Mappings in Geodesic Spaces

2019 ◽  
pp. 253-316
Author(s):  
Ştefan Cobzaş ◽  
Radu Miculescu ◽  
Adriana Nicolae
Keyword(s):  
Lipschitz Mappings ◽  
Geodesic Spaces
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