On the geodesic flow on CAT(0) spaces
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2019.52
Abstract: Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen–Margulis’ measure finiteness assumption used by Ricks [Flat strips, Bowen–Margulis measures, and mixing of the geodesic flow… read more here.
Keywords: cat spaces; geodesic flow; flow cat; bowen margulis ... See more keywords
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
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DOI: 10.1080/10556788.2016.1219908
Abstract: We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend… read more here.
Keywords: nonexpansive mappings; solving minimization; point; cat spaces ... See more keywords
Fixed-Point Convergence Results of a Three-Step Iterative Process in CAT(0) Spaces
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DOI: 10.1155/2021/5522926
Abstract: In this article, we suggest some and strong convergence results of a three-step Sahu–Thakur iteration process for Garcia-Falset maps in the nonlinear setting of CAT(0) spaces. We furnish a new example of Garcia-Falset maps and… read more here.
Keywords: three step; results three; convergence results; step ... See more keywords
Infinite Product and Its Convergence in CAT(1) Spaces
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DOI: 10.3390/math11081807
Abstract: In this paper, we study the convergence of infinite product of strongly quasi-nonexpansive mappings on geodesic spaces with curvature bounded above by one. Our main applications behind this study are to solve convex feasibility by… read more here.
Keywords: convergence cat; convergence; infinite product; product convergence ... See more keywords