Search results for " partially ordered set"

showing 5 items of 5 documents

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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Meir-Keeler Type Contractions for Tripled Fixed Points

2012

Abstract In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.

Discrete mathematicsMetric spaceSettore MAT/05 - Analisi MatematicaGeneralizationGeneral MathematicsMathematics::General TopologyGeneral Physics and AstronomyFixed-point theoremTripled fixed point theorems Meir-Keeler type contractions partially ordered sets.Type (model theory)Fixed pointPartially ordered setMathematicsActa Mathematica Scientia
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Coupled coincidence points for compatible mappings satisfying mixed monotone property

2012

We establish coupled coincidence and coupled fixed point results for a pair of mappings satisfying a compatibility hypothesis in partially ordered metric spaces. An example is given to illustrate our obtained results.

Pure mathematicsAlgebra and Number TheoryMonotone polygonProperty (philosophy)Settore MAT/05 - Analisi MatematicaCompatible mappings coupled fixed point mixed monotone property partially ordered setAnalysisCoincidenceMathematicsJournal of Nonlinear Sciences and Applications
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Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces

2011

Abstract In this paper, we establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to Ciric (2009) [3] . An example is given to illustrate the usability of our results.

Pure mathematicsbusiness.industryApplied MathematicsFixed-point theoremUsabilityNonlinear contractionMulti valuedCombinatoricsMetric spaceSettore MAT/05 - Analisi MatematicaCoupled fixed point multi-valued nonlinear contraction partially ordered setbusinessPartially ordered setCoincidence pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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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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