Search results for "cone metric space."

showing 3 items of 23 documents

Fixed point results in cone metric spaces for contractions of Zamfirescu type

2010

We prove a result on points of coincidence and common fixed points in cone metric spaces for two self mappings satisfying a weak generalized contractive condition of Zamfirescu type. We deduce some results on common fixed points for two self mappings satisfying a weak contractive type condition. These results generalize some well-known recent results.

contractive type mappingpoint of coincidencecoincidence pointSettore MAT/05 - Analisi Matematicacone metric spacecommon fixed pointcommuting mappingcompatible mapping
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Coupled fixed-point results for T-contractions on cone metric spaces with applications

2015

The notion of coupled fixed point was introduced in 2006 by Bhaskar and Lakshmikantham. On the other hand, Filipovićet al. [M. Filipovićet al., “Remarks on “Cone metric spaces and fixed-point theorems of T-Kannan and T-Chatterjea contractive mappings”,” Math. Comput. Modelling 54, 1467–1472 (2011)] proved several fixed and periodic point theorems for solid cones on cone metric spaces. In this paper we prove some coupled fixed-point theorems for certain T-contractions and study the existence of solutions of a system of nonlinear integral equations using the results of our work. The results of this paper extend and generalize well-known comparable results in the literature.

coupled fixed pointPure mathematicscone metric spaceGeneral MathematicsInjective metric spaceMathematical analysisPeriodic pointFixed pointNonlinear integral equationConvex metric spaceT-contractionMetric spaceCone (topology)Settore MAT/05 - Analisi Matematicasubsequentially convergentsequentially convergentMathematicsMathematical Notes
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Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метр…

2018

This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new. Namely, using an old result due to K. Deimling it is indicated that tvs-cone metric spaces over solid cones are actually cone metric spaces over normal solid cones. Hence, there are only cone metric spaces over normal solid cones or over normal non-solid cones. One question still unanswered is whether an ordered topological vector space with a non-normal non-solid cone exists. / В представленных, в данной статье, заметках приведен подробный обзор методов и полученных результатов исследо…

metrizabilannormalanUnon-normaltvp-konusni metrički prostormetrizableненормальныйEngineering (General). Civil engineering (General)нормальныйnormalтвп-коническое метрическое пространствоtvs-cone metric spaceMilitary Sciencesolidметризуемостьnije normalanTA1-2040конус с непустой внутренностьюkonus sa nepraznom unutrašnjošćuVojnotehnički Glasnik
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