Results 21 to 30 of about 4,342,124 (307)

Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric

open access: yesJurnal Derivat, 2023
An extension of the metric space in which the distance of the same point is not always zero is called a partial metric space. Orthogonality is the relation of two perpendicular lines at one point of intersection forming a right angle.
Mochammad Hafiizh   +3 more
doaj   +1 more source

Metrically round and sleek metric spaces

open access: yesThe Journal of Analysis, 2022
A round metric space is the one in which closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which interior of each closed ball is the corresponding open ball. In this, article we establish some results on round metric spaces and sleek metric spaces.
Jitender Singh, T. D. Narang
openaire   +2 more sources

Fuzzy n−Controlled Metric Space

open access: yesInternational Journal of Analysis and Applications, 2023
This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces ...
Salman Furqan   +2 more
doaj   +1 more source

Results on common fixed points in S_b-metric spaces [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics
In this paper, we establish new common fixed point theorems for pairs of weakly compatible mappings within the framework of S_b-metric spaces. By introducing generalized contractive conditions, we demonstrate the existence and uniqueness of common fixed ...
Pramodkumar Sohanlal Sharma   +1 more
doaj   +1 more source

On the topology of D‐metric spaces and generation of D‐metric spaces from metric spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
An example of a D‐metric space is given, in which D‐metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D‐metric spaces from a given metric space are developed and are used in constructing (1) an example of a D‐metric space in which D‐metric convergence ...
S. V. R. Naidu   +2 more
openaire   +2 more sources

Neutrosophic metric spaces [PDF]

open access: yesMathematical Sciences, 2020
In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Murat Kirişci, Necip Şimşek
openaire   +2 more sources

A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces

open access: yesMathematics, 2020
In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.
Carmen Alegre   +3 more
doaj   +1 more source

Metric distributional discrepancy in metric space

open access: yesStatistics and Its Interface, 2023
14 pages, 2 ...
Pan, Wenliang   +4 more
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

Partial b-Rectangular Metric Space with Some Results

open access: yesTikrit Journal of Pure Science, 2022
A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach
Noor Riyadh Adeeb
doaj   +1 more source

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