Results 21 to 30 of about 6,411,334 (298)

The Completion of Generalized 2-Inner Product Spaces

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space  can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form  which “is the set of all b-Cauchy
Safa L. Hamad, Zeana Z. Jamil
doaj   +1 more source

The metric completion of Outer Space [PDF]

open access: yesGeometriae Dedicata, 2019
We develop the theory of a metric completion of an asymmetric metric space. We characterize the points on the boundary of Outer Space that are in the metric completion of Outer Space with the Lipschitz metric. We prove that the simplicial completion, the subset of the completion consisting of simplicial tree actions, is homeomorphic to the free ...
openaire   +2 more sources

UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]

open access: yes, 2014
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core   +1 more source

Ordered Sp $S_{p}$-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

open access: yesFixed Point Theory and Applications, 2019
In this paper, we introduce the structure of Sp $S_{p}$-metric spaces as a generalization of both S-metric and Sb $S_{b}$-metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered Sp $S_{p}$-metric spaces and ...
Z. Mustafa   +4 more
doaj   +1 more source

Some fixed point theorems for $C$-class functions in $b$-metric spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2018
In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results.
Arslan Hojat Ansari, Abdolrahman Razani
doaj   +1 more source

On metrization of the space Dα[0, ∞)

open access: yesLietuvos Matematikos Rinkinys, 2001
A complete metric on the function space Dα[0, ∞) , which is a subspace of the space Dα[0, ∞) of functions without discontinuities of the second kind, is constructed. This metric converts Dα[0, ∞) into a complete separable metric space.
Rimas Banys
doaj   +3 more sources

Related fixed point theorems on two complete and compact metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
A new related fixed point theorem on two complete metric spaces is obtained. A generalization is given for two compact metric spaces.
R. K. Namdeo   +3 more
doaj   +1 more source

Fixed point Results on a Complete Soft Usual Metric Space

open access: yes, 2021
The present work is related to the theory of fixed point in complete soft usual metric space,which are extension of well-known results on complete metric space as well as complete softmetric space.
Ramakant Bhardwaj
core   +1 more source

Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph

open access: yesMathematics, 2019
Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl.
Tahair Rasham   +2 more
doaj   +1 more source

Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces

open access: yesMathematics, 2022
A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space.
Yanlin Li   +3 more
doaj   +1 more source

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