Results 11 to 20 of about 15,516 (285)
g-Weak Contraction in Ordered Cone Rectangular Metric Spaces
The Scientific World Journal, 2013 We prove some common fixed-point theorems for the ordered g-weak contractions in cone rectangular metric spaces without assuming the normality of cone.
S. K. Malhotra +2 more
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A Note on tvs-G-Cone Metric Fixed Point Theory
Journal of Applied Mathematics, 2012 For a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ ...
Ing-Jer Lin +3 more
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Dugundji’s theorem for cone metric spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kieu Phuong Chi, Tran Van An
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Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Annales Mathematicae Silesianae, 2021 The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral.
Tomar Anita, Joshi Meena
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces [PDF]
Abstract and Applied Analysis, 2013 We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.
Poom Kumam +2 more
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On partial metric spaces and partial cone metric spaces
Hacettepe Journal of Mathematics and Statistics, 2017 It this article we shall show that partial metric spaces and partial cone metric spaces are quasi-uniformizable and hence quasi-metrizable. Finally, an application to the Banach’s fixed point theorem will be presented in this context.
Moshokoa, Seithuti P.
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Fredholm integral equation in composed-cone metric spaces
Boundary Value ProblemsThe current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given.
Anas A. Hijab +3 more
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
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 a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Topological Algebra and its Applications, 2021 This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Shashi Pauline, Kumar Santosh
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Schauder estimates for equations with cone metrics, II [PDF]
Analysis & PDE, 2021 This is the continuation of our paper \cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background Kähler metric of conical singularities along a divisor of simple normal crossings.
Guo, Bin, Song, Jian
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