Results 11 to 20 of about 828,524 (283)
Some fixed point results on generalized metric spaces
AIMS Mathematics, 2021 In this paper, generalized metric spaces are introduced as a common generalization of tvs-cone metric spaces, partial metric spaces and b-metric spaces, and a unified approach is proposed to some fixed point results by using generalized metric spaces ...
Xun Ge, Songlin Yang
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Generalizing the Kantorovich Metric to Projection-Valued Measures [PDF]
, 2016 Given a compact metric space $X$, the collection of Borel probability measures on $X$ can be made into a compact metric space via the Kantorovich metric. We partially generalize this well known result to projection-valued measures. In particular, given a
Davison, Trubee
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On metrization of the space Dα[0, ∞)
Lietuvos 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
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Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space
Jurnal Ilmu Dasar, 2019 In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of ...
S. Sunarsini +2 more
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Some fixed point theorems for $C$-class functions in $b$-metric spaces [PDF]
Sahand 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
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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Related fixed point theorems on two complete and compact metric spaces
International 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
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The harmonic map and Killing fields for self-dual SU(3) Yang-Mills equations [PDF]
, 1984 Using symbolic computations, the unique metric in the space of fields, required to describe self-dual SU(3) Yang-Mills equations by a harmonic map, is determined.
Kersten, Paul, Martini, Ruud
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Mathematics, 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
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Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
Mathematics, 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
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