Results 51 to 60 of about 6,851 (153)
Some α−ϕ-Fuzzy Cone Contraction Results with Integral Type Application
Journal of Mathematics, 2021 In this paper, we define α-admissible and α-ϕ-fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed.
Saif Ur Rehman +3 more
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Order Norm Completions of Cone Metric Spaces
Numerical Functional Analysis and Optimization, 2011 In this article, a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed.
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Cone Metric Spaces are usual Metric Spaces by a Renorming in the Banach Space
Journal of Nonlinear Analysis and Application, 2016 In this paper, we will attempt to enforce the feeling that cone metric spaces are not real generalization of metric spaces, by a renorming of the Banach space. In specific, we can convert any strongly minihedral normal cone P to a normal cone with normal constant 1. Consequently, and due to this result, every cone metric space is really a metric space,
A. Hakawati, H. D. Sarris
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Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
Abstract and Applied Analysis, 2014 Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space.
Ravi P. Agarwal +3 more
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On Multivalued Contractions in Cone Metric Spaces without Normality
The Scientific World Journal, 2013 Wardowski (2011) in this paper for a normal cone metric space (X,d) and for the family 𝒜 of subsets of X established a new cone metric H:𝒜×𝒜→E and obtained fixed point of set-valued contraction of Nadler type.
Muhammad Arshad, Jamshaid Ahmad
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Integral Operators in b-Metric and Generalized b-Metric Spaces and Boundary Value Problems
Fractal and FractionalWe study fixed-point theorems of contractive mappings in b-metric space, cone b-metric space, and the newly introduced extended b-metric space. To generalize an existence and uniqueness result for the so-called Φs functions in the b-metric space to the ...
Christopher Middlebrook, Wenying Feng
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A Fixed Point on Generalised Cone Metric Spaces
Kyungpook mathematical journal, 2015 The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.
Pal, Sudip Kumar, Maity, Manojit
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New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces
Abstract and Applied Analysis, 2012 A new concept of the c-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some fixed point results in literature for c-distance in cone metric spaces by replacing the constants in ...
Zaid Mohammed Fadail +2 more
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On an equivalence of the topology of algebraic cone metric spaces and metric spaces
, 2014 8 ...
Gamchi, Saeedeh Shamsi +2 more
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TVS-cone metric spaces as a special case of metric spaces
, 2012 There have been a number of generalizations of fixed point results to the so called TVS-cone metric spaces, based on a distance function that takes values in some cone with nonempty interior (solid cone) in some topological vector space. In this paper we prove that the TVS-cone metric space can be equipped with a family of mutually equivalent (usual ...
Aranđelović, Ivan D. +1 more
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