Results 11 to 20 of about 102,220 (261)
STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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The metric completion of Outer Space [PDF]
Geometriae 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
Fixed 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
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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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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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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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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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Existence of Best Proximity Point in O-CompleteMetric Spaces
Mathematics, 2023 In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish
G. Poonguzali +2 more
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Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive [PDF]
Sahand Communications in Mathematical Analysis, 2019 Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings
Hamid Shojaei +2 more
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