Geodesic complexity for non-geodesic spaces

نویسندگان

چکیده

We define the notion of near-geodesic between points a metric space when no geodesic exists, and use this to extend Recio-Mitter’s complexity non-geodesic spaces. This has potential application topological robotics. determine explicit near-geodesics in variety cases.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convexity and Geodesic Metric Spaces

In this paper, we first present a preliminary study on metric segments and geodesics in metric spaces. Then we recall the concept of d-convexity of sets and functions in the sense of Menger and study some properties of d-convex sets and d-convex functions as well as extreme points and faces of d-convex sets in normed spaces. Finally we study the continuity of d-convex functions in geodesic metr...

متن کامل

Proximinality in Geodesic Spaces

Let X be a complete CAT(0) space with the geodesic extension property and Alexandrov curvature bounded below. It is shown that if C is a closed subset of X , then the set of points of X which have a unique nearest point in C is Gδ and of the second Baire category inX. If, in addition,C is bounded, then the set of points ofX which have a unique farthest point in C is dense in X. A proximity resu...

متن کامل

Fan's inequality in geodesic spaces

Fan’s minimax inequality is extended to the context of metric spaces with global nonpositive curvature. As a consequence, a much more general result on the existence of a Nash equilibrium is obtained. © 2009 Elsevier Ltd. All rights reserved.

متن کامل

Geodesic Motion on Closed Spaces

Two manifolds with genus g = 0 are given. In one the geodesic motion is apparently integrable. In the second example the geodesic flow, shows the presence of chaotic regions.

متن کامل

Geodesic metric spaces and generalized nonexpansive multivalued mappings

In this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in CAT(0) spaces as well as in UCED Banach spaces. Moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Boletin De La Sociedad Matematica Mexicana

سال: 2021

ISSN: ['2296-4495', '1405-213X']

DOI: https://doi.org/10.1007/s40590-021-00400-9