نتایج جستجو برای: convex metric space

تعداد نتایج: 604474  

Journal: :iranian journal of fuzzy systems 2010
ishak altun

in the present paper, a partial order on a non- archimedean fuzzymetric space under the  lukasiewicz t-norm is introduced and fixed point theoremsfor single and multivalued mappings are proved.

Journal: :international journal of nonlinear analysis and applications 2015
kourosh nourouzi

in this paper, vector ultrametric spaces are introduced and a fixed point theorem is given forcorrespondences. our main result generalizes a known theorem in ordinary ultrametric spaces.

1996
JURIS STEPRĀNS

To any metric space it is possible to associate the cardinal invariant corresponding to the least number of rectifiable curves in the space whose union is not meagre. It is shown that this invariant can vary with the metric space considered, even when restricted to the class of convex subspaces of separable Banach spaces. As a corollary it is obtained that it is consistent with set theory that ...

2016
THEO BENDIT

Let C(X) denote the set of all non-empty closed bounded convex subsets of a normed linear space X. In 1952 Hans R̊adström described how C(X) equipped with the Hausdorff metric could be isometrically embedded in a normed lattice with the order an extension of set inclusion. We call this lattice the R̊adström of X and denote it by R(X). We: (1) outline R̊adström’s construction, (2) examine the struc...

2011
Ismat Beg Mujahid Abbas

We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all t-best approximations to contain a fixed point of arbitrary mappings. A ...

Journal: :Discrete Mathematics 1996
Hans-Jürgen Bandelt Victor Chepoi

The d-convex sets in a metric space are those subsets which include the metric interval between any two of its elements. Weak modularity is a certain interval property for triples of points. The d-convexity of a discrete weakly modular space X coincides with the geodesic convexity of the graph formed by the two-point intervals in X. The Helly number of such a space X turns out to be the same as...

Journal: :Journal of new theory 2023

This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over locally convex Hausdorff topological vector space. ensures that most studies on existence uniqueness of fixed-point theorems space spaces are equivalent. We prove vector-valued version scalar-valued those spaces. Moreover, we present if real Banach is considered inst...

2000
M. JIMÉNEZ

Let M be the collection of all intersections of balls, considered as a subset of the hyperspace H of all closed, convex and bounded sets of a Banach space, furnished with the Hausdorff metric. We prove that M is uniformly very porous if and only if the space fails the Mazur intersection property.

Journal: :Symmetry 2022

This paper studies a general p-contractive condition of self-mapping T on X, where X ,d is either metric space or dislocated space, which combines the contribution to upper-bound dTx , Ty, x and y are arbitrary elements in weighted combination distances dx,y dx,Tx,dy,Ty,dx,Ty,dy,Tx, dx,Tx−dy,Ty dx,Ty−dy,Tx. The asymptotic regularity convergence Cauchy sequences unique fixed point also discussed...

2010
SERGIU AIZICOVICI SIMEON REICH ALEXANDER J. ZASLAVSKI

We study continuous descent methods for minimizing convex functions, defined on general Banach spaces, which are associated with an appropriate complete metric space of vector fields. We show that there exists an everywhere dense open set in this space of vector fields such that each of its elements generates strongly convergent trajectories.

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