Search results for "coupled fixed point"

showing 2 items of 12 documents

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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Coupled fixed point theorems for symmetric (phi,psi)-weakly contractive mappings in ordered partial metric spaces

2013

We establish some coupled fixed point theorems for symmetric (phi,chi)-weakly contractive mappings in ordered partial metric spaces. Some recent results of Berinde (Nonlinear Anal. 74 (2011), 7347-7355; Nonlinear Anal. 75 (2012), 3218-3228) and many others are extended and generalized to the class of ordered partial metric spaces.

coupled fixed pointSettore MAT/05 - Analisi Matematicapartial metric spacecontractionmixed monotone property
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