Results 11 to 20 of about 253 (35)
A weak ergodic theorem for infinite products of Lipschitzian mappings
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 67-74, 2003., 2003 Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self‐mapping A of K, we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self‐mappings of K.
Simeon Reich, Alexander J. Zaslavski
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Weakly compactly generated Frechet spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 4, Page 721-724, 1979., 1979 It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.
Surjit Singh Khurana
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A Universal Separable Diversity
Analysis and Geometry in Metric Spaces, 2017 The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be ...
Bryant David, Nies André, Tupper Paul
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Measure-theoretic characterizations of certain topological properties [PDF]
, 2005 It is shown that Cech completeness, ultra completeness and local compactness can be defined by demanding that certain equivalences hold between certain lasses of Baire measures or by demanding that certain lasses of Baire measures have non-empty support.
Buhagiar, David +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature.
Shatanawi Wasfi +2 more
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A counterexample to gluing theorems for MCP metric measure spaces
, 2018 Perelman's doubling theorem asserts that the metric space obtained by gluing along their boundaries two copies of an Alexandrov space with curvature $\geq \kappa$ is an Alexandrov space with the same dimension and satisfying the same curvature lower ...
Rizzi, Luca
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Existence of doubling measures via generalised nested cubes
, 2011 Working on doubling metric spaces, we construct generalised dyadic cubes adapting ultrametric structure. If the space is complete, then the existence of such cubes and the mass distribution principle lead into a simple proof for the existence of doubling
Käenmäki, Antti +2 more
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Generalization of the Banach contraction principle [PDF]
, 2013 We introduce the concept of shifting distance functions, and we establish a new fixed point theorem which generalizes the Banach contraction principle.
Berzig, Maher
core
An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions.
Chol Jin Kil, Nawab Hussain
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