Results 51 to 60 of about 130,578 (174)
Invariant approximation results in cone metric spaces
Annals of Functional Analysis, 2011 Some sufficient conditions for the existence of fixed point of mappings satisfying generalized weak contractive conditions is obtained. A fixed point theorem for nonexpansive mappings is also obtained. As an application, some invariant approximation results are derived in cone metric spaces.
Abbas, M, VETRO, Pasquale
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Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results
Journal of Inequalities and Applications, 2022 In this article, we introduce a new geometrical structure that is the hybrid of a cone metric space over Banach algebra and a controlled metric-type space.
Wahid Ullah +4 more
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Completion Of Cone Metric Spaces
, 2009 In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence via the scalar norm of the Banach space E.
Çakallı, Hüseyin, Sönmez, Ayşe
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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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Some New Results in Partial Cone $b$-Metric Space
Communications in Advanced Mathematical Sciences, 2020 In this paper, we introduce the concepts of the Ulam-Hyers-Rassias stability and the limit shadowing property of a fixed point problem and the $P$-property of a mapping in partial cone $b$-metric space.
Zeynep Kalkan, Aynur Şahin
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Lipschitz normal embedding among superisolated singularities
, 2018 Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the associated riemannian metric on the germ.
Misev, Filip, Pichon, Anne
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The stochastic order of probability measures on ordered metric spaces
, 2017 The general notion of a stochastic ordering is that one probability distribution is smaller than a second one if the second attaches more probability to higher values than the first.
Hiai, Fumio, Lawson, Jimmie, Lim, Yongdo
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Fixed Point Results in Quasi-Cone Metric Spaces [PDF]
Abstract and Applied Analysis, 2013 The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in quasi-cone metric spaces.
Fawzia Shaddad, Mohd Salmi Md Noorani
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GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES [PDF]
Korean Journal of Mathematics, 2012 Summary: In this paper we introduce the property \((C)\), which is a cone metric extension of the usual metric property \((E,A)\) and consider fixed point theorems for generalized contractive mappings under suitable conditions in cone metric spaces without normal cones.
Kim, Seung Hyun, Lee, Byung Soo
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