Search results for " cone metric space"

showing 8 items of 8 documents

A coincidence-point problem of Perov type on rectangular cone metric spaces

2017

We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we establish some existence and uniqueness results for two self-mappings. Under a compatibility assumption, we also solve a common fixed-point problem.

Algebra and Number Theory010102 general mathematicsMathematical analysisGeometryType (model theory)01 natural sciencesRectangular cone metric space spectral radius solid cone g-contraction of Perov type -admissible mapping -g-contraction of Perov type010101 applied mathematicsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometria0101 mathematicsCoincidence pointAnalysisMathematicsThe Journal of Nonlinear Sciences and Applications
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Nonlinear quasi-contractions of Ciric type

2012

In this paper we obtain points of coincidence and common fixed points for two self mappings satisfying a nonlinear contractive condition of Ciric type. As application, using the scalarization method of Du, we deduce a result of common fixed point in cone metric spaces.

Common fixed points quasi-contractions scalarization cone metric spaces.Settore MAT/05 - Analisi Matematica
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Invariant approximation results in cone metric spaces

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.

Control and OptimizationAlgebra and Number TheoryInjective metric spaceTangent coneMathematical analysis‎non normal cone‎54C60‎54H25‎‎orbitally continuous‎cone metric spacesIntrinsic metricConvex metric spaceFixed pointsMetric space‎46B40Dual cone and polar coneSettore MAT/05 - Analisi MatematicaMetric map‎invariant‎ ‎approximationInvariant (mathematics)Fixed points orbitally continuous invariant approximation cone metric spaces non normal cone.47H10AnalysisMathematics
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Coupled fixed point, F-invariant set and fixed point of N-order

2010

‎In this paper‎, ‎we establish some new coupled fixed point theorems in complete metric spaces‎, ‎using a new concept of $F$-invariant set‎. ‎We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point‎. ‎As applications‎, ‎we discuss and adapt the presented results to the setting of partially ordered cone metric spaces‎. ‎The presented results extend and complement some known existence results from the literature‎.

Discrete mathematicsCoupled fixed point F-invariant set fixed point of N-order partially ordered set cone metric spaceControl and OptimizationAlgebra and Number Theory47H10‎Fixed-point theoremFixed pointFixed-point propertyCoupled fixed point‎partially ordered setLeast fixed point‎$F$-invariant set54H25Schauder fixed point theoremFixed-point iterationSettore MAT/05 - Analisi Matematica‎34B15‎cone metric space‎fixed point of $N$-orderKakutani fixed-point theoremAnalysisHyperbolic equilibrium pointMathematics
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Common fixed points for self mappings on compact metric spaces

2013

In this paper we obtain a result of existence of points of coincidence and of common fixed points for two self mappings on compact metric spaces satisfying a contractive condition of Suzuki type. We also present some examples to illustrate our results. Moreover, using the scalarization method of Du, we deduce a result of common fixed point in compact cone metric spaces.

Pure mathematicsApplied MathematicsInjective metric spaceFixed-point propertyTopologyIntrinsic metricConvex metric spaceComputational MathematicsUniform continuityMetric spaceRelatively compact subspaceSettore MAT/05 - Analisi MatematicaCompact metric spaces Common fixed points Suzuki fixed point theorem Scalarization Cone metric spacesMetric mapMathematicsApplied Mathematics and Computation
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MR2684111 Kadelburg, Zoran; Radenović, Stojan; Rakočević, Vladimir Topological vector space-valued cone metric spaces and fixed point theorems. Fixed…

2011

Recently, Huang and Zhang [\emph{Cone metric spaces and fixed point theorems of contractive mappings}, J. Math. Anal. Appl., \textbf{332} (2007), 1468 -1476] defined cone metric spaces by substituing an order normed space for the real numbers and proved some fixed point theorems. Let $E$ be a real Hausdorff topological vector space and $P$ a cone in $E$ with int\,$P\neq \emptyset$, where int\,$P$ denotes the interior of $P$. Let $X$ be a nonempty set. A function $d : X \times X\to E$ is called a \emph{tvs}-cone metric and $(X, d)$ is called a \emph{tvs}-cone metric space, if the following conditions hold: (1) $\theta \leq d(x, y)$ for all $x, y \in X$ and $d(x, y)= \theta$ if and only if $x…

Settore MAT/05 - Analisi MatematicaCone metric spaces Topological vector space-valued cone metric spaces fixed points
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Fixed point results for weak contractive mappings in ordered K-metric spaces

2012

In this paper, we derive new coincidence and common fixed point theorems for self-maps satisfying a weak contractive condition in an ordered K-metric space. As application, the obtained results are used to prove an existence theorem of solutions of a nonlinear integral equation.

Settore MAT/05 - Analisi MatematicaFixed point partially ordered set cone metric space weak contraction integral equation
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MR2661185 Reviewed Huang, Xianjiu; Zhu, Chuanxi; Wen, Xi Common fixed point theorem for four non-self-mappings in cone metric spaces. Fixed Point The…

2012

Recently, L. G. Huang and X. Zhang [J. Math. Anal. Appl. 332 (2007), no. 2, 1468–1476; MR2324351 (2008d:47111)] defined cone metric spaces by substituting an order normed space for the real numbers and proved some fixed point theorems. In this paper the authors prove a common fixed point theorem for four non-self-mappings in the framework of cone metric spaces. This result is an extension of a common fixed point theorem of Radenović and Rhoades for two non-self-mappings. The paper also contains some illustrative examples. For fixed point results in the framework of cone metric spaces see also [M. Arshad, A. Azam and P. Vetro, Fixed Point Theory Appl. 2009, Art. ID 493965; MR2501489 (2010e:5…

Settore MAT/05 - Analisi Matematicafixed point common fixed point cone metric space
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