6533b830fe1ef96bd12970c2
RESEARCH PRODUCT
Multi-valued F-contractions and the solution of certain functional and integral equations
Calogero VetroMargherita Sgroisubject
Discrete mathematicsPure mathematicsGeneral MathematicsInjective metric spacemetric spaceFixed-point theoremFixed pointFixed-point propertyConvex metric spaceUniform continuityClosed multi-valued F-contractionfixed pointFréchet spaceF-contractive condition of Hardy-Rogers-typeSettore MAT/05 - Analisi MatematicaContraction mappingMathematicsordered metric spacesdescription
Wardowski [Fixed Point Theory Appl., 2012:94] introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, we will present some fixed point results for closed multi-valued F-contractions or multi-valued mappings which satisfy an F-contractive condition of Hardy-Rogers-type, in the setting of complete metric spaces or complete ordered metric spaces. An example and two applications, for the solution of certain functional and integral equations, are given to illustrate the usability of the obtained results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |