6533b834fe1ef96bd129e091

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Coupled fixed point results in cone metric spaces for -compatible mappings

Hassen AydiCalogero VetroBessem Samet

subject

b-common coupled fixed pointPure mathematicscone metric spaceApplied MathematicsMathematical analysisFixed-point theoremintegral equation.Fixed pointIntegral equationCoincidenceMetric spaceCone (topology)Differential geometrySettore MAT/05 - Analisi Matematicaw-compatible mappingb-coupled coincidence pointGeometry and TopologyCoincidence pointMathematics

description

In this paper, we introduce the concepts of -compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F, G : X × X → X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered. 2010 Mathematics Subject Classifications: 54H25; 47H10.

yearjournalcountryeditionlanguage
2011-08-08Fixed Point Theory and Applications
https://doi.org/10.1186/1687-1812-2011-27