Results 21 to 30 of about 12,678 (260)
Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces
Abstract and Applied Analysis, 2013 The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric ...
Sahar Mohammad Abusalim +1 more
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Non-normal cone metric and cone b-metric spaces and fixed point results [PDF]
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 2016 We show that most fixed point results obtained so far in cone metric spaces over solid non-normal cones can be easily reduced to the case of solid normal cones and, hence, their proofs can be made much simpler. Also, cone tvs-valued spaces over solid cones are not an essential generalization of cone metric spaces.
Z. Kadelburg +3 more
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GENERALIZED CONE METRIC SPACES
Journal of Nonlinear Sciences and Applications, 2010 A notion of generalized cone metric space is introduced, and some convergence properties of sequences are proved. Also some flxed point results for mappings satisfying certain contractive conditions are obtained. Our results complement, extend and unify several well known results in the literature.
ISMAT BEG, MUJAHID ABBAS, TALAT NAZIR
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Nonlinear Analysis, 2016 In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces.
Chuanxi Zhu +3 more
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Open Mathematics, 2023 In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
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Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces
Abstract and Applied Analysis, 2010 Some results of (Ćirić, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally 𝑇 complete cone metric spaces under the ...
Erdal Karapınar
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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.
Chi, Kieu Phuong, Van An, Tran
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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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Metric Regularity Relative to a Cone
Vietnam Journal of Mathematics, 2019 Metric regularity and related properties are powerful tools for dealing with problems of optimization and variational analysis, and its has a long history. Important applications enclose the study of stability of variational systems as well as convergence of Newton's type methods.
Huynh Van Ngai +2 more
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Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
Fixed Point Theory and Applications, 2017 A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George +3 more
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