Results 21 to 30 of about 184,969 (228)
(In)homogeneous invariant compact convex sets of probability measures
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 It is proved that for any iterated function system of contractions on a complete metric space there exists an invariant compact convex sets of probability measures of compact support on this space.
Natalia Mazurenko, Mykhailo Zarichnyi
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Non-positive curvature and the Ptolemy inequality [PDF]
, 2007 We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic.
A. Lytchak +3 more
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Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces [PDF]
, 2006 A Fuchsian polyhedron in hyperbolic space is a polyhedral surface invariant under the action of a Fuchsian group of isometries (i.e. a group of isometries leaving globally invariant a totally geodesic surface, on which it acts cocompactly).
Fillastre, François
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Strong Convergence Theorems for a Countable Family of Nonexpansive Mappings in Convex Metric Spaces
Abstract and Applied Analysis, 2011 We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {Tn} in convex metric spaces. We prove that the sequence {xn} generated by the proposed iteration is an approximating fixed point sequence of a ...
Withun Phuengrattana, Suthep Suantai
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Some remarks on the visual angle metric [PDF]
, 2015 We show that the visual angle metric and the triangular ratio metric are comparable in convex domains. We also find the extremal points for the visual angle metric in the half space and in the ball by use of a construction based on hyperbolic geometry ...
Hariri, Parisa +2 more
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Geometry without topology as a new conception of geometry [PDF]
, 2001 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Rylov, Yuri A.
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Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space [PDF]
Sahand Communications in Mathematical AnalysisIn this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. We present several theorems concerning the existence of coincidence points in fuzzy convex metric spaces.
Mohammad Rashid
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European Journal of Mathematics and Applications, 2023 The study of fixed point theorems for multi-valued non-self mappings on metrically convex metric space was initiated by Assad and Kirk. In this paper, we will prove and extend the fixed point results for an extended interpolative multivalued non-self ...
Lucas Wangwe
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The generalized projection methods in countably normed spaces
Journal of Inequalities and Applications, 2021 Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek +2 more
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Convex Metric Spaces with 0-Dimensional Midsets [PDF]
Proceedings of the American Mathematical Society, 1973 Let X be a nontrivial, complete, convex, locally externally convex metric space. Assuming that the midset of each pair of points of X is 0-dimensional and that any nonmaximal metric segment that intersects a midset twice lies in that midset, we show that X is isometric to either the euclidean line El or to a 1-dimensional spherical space S1 a (the ...
L. D. Loveland, J. E. Valentine
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