Closed geodesics on geodesic spaces of curvature
Sign Up to like & getrecommendations! Published in 2020 at "Expositiones Mathematicae"
DOI: 10.1016/j.exmath.2018.12.001
Abstract: Abstract We show how to use classical methods to prove that a compact, connected, non-contractible geodesic space of curvature ∞ has at least one closed geodesic. read more here.
Keywords: geodesic spaces; geodesics geodesic; spaces curvature; closed geodesics ... See more keywords
Fixed points of locally nonexpansive mappings in geodesic spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.09.059
Abstract: This is an examination of the structure of fixed point sets of locally nonexpansive mappings in various geodesic spaces. Among other things, it is shown that if G is a bounded connected open subset of… read more here.
Keywords: fixed points; points locally; nonexpansive mappings; subset ... See more keywords
Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces
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DOI: 10.3390/axioms11100492
Abstract: The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive… read more here.
Keywords: geodesic spaces; approximating solutions; via fixed; solutions optimization ... See more keywords