Search results for "T-contraction"

showing 2 items of 2 documents

Tripled Fixed Point Results for T-Contractions on Abstract Metric Spaces

2014

In this paper we introduce the notion of T-contraction for tripled fi xed points in abstract metric spaces and obtain some tripled fi xed point theorems which extend and generalize well-known comparable results in the literature. To support our results, we present an example and an application to integral equations.

QA299.6-433Tripled fixed pointSequentially convergentlcsh:QA299.6-433lcsh:AnalysisSubsequentially convergent.QA273-280T-contractionAbstract metric spaceSettore MAT/05 - Analisi Matematicalcsh:Probabilities. Mathematical statisticslcsh:QA273-280Probabilities. Mathematical statisticsAnalysisInternational Journal of Analysis and Applications
researchProduct

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
researchProduct