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RESEARCH PRODUCT
Cyclic admissible contraction and applications to functional equations in dynamic programming
Calogero VetroHüseyin IşıkBessem Sametsubject
Pure mathematicsApplied Mathematicsfunctional equationsOrder (ring theory)common fixed pointT-cyclic (alphabeta)-admissible mappingType (model theory)weakly compatible mappingAlgebraDynamic programmingAlpha (programming language)point of coincidenceDifferential geometrySettore MAT/05 - Analisi MatematicaCommon fixed pointGeometry and TopologyCoincidence pointTopology (chemistry)Mathematicsdescription
In this paper, we introduce the notion of T-cyclic $( \alpha ,\beta ) $ -contraction and give some common fixed point results for this type of contractions. The presented theorems extend, generalize, and improve many existing results in the literature. Several examples and applications to functional equations arising in dynamic programming are also given in order to illustrate the effectiveness of the obtained results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-09-01 |