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RESEARCH PRODUCT

A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A

Saurabh ManroCalogero VetroS. S. BhatiaSanjay Kumar

subject

Discrete mathematicsG-metric spaceweak compatibilityproperty E.AApplied MathematicsFixed-point theoremcommon fixed pointFixed pointFixed-point propertyLeast fixed pointSettore MAT/05 - Analisi MatematicaFunctional equationGeometry and TopologyKakutani fixed-point theoremBrouwer fixed-point theoremCoincidence pointMathematics

description

In view of the fact that the fixed point theory provides an efficient tool in many fields of pure and applied sciences, we use the notion of the property E.A to prove a common fixed point theorem for weakly compatible mappings. The presented results are applied to obtain the solution of an integral equation and the bounded solution of a functional equation arising in dynamic programming.

10.1186/1687-1812-2013-41http://dx.doi.org/10.1186/1687-1812-2013-41