6533b852fe1ef96bd12ab961
RESEARCH PRODUCT
The class of F-contraction mappings with a measure of noncompactness
Francesca VetroCalogero Vetrosubject
Pure mathematics021103 operations researchcontraction condition0211 other engineering and technologiesBanach space02 engineering and technology01 natural sciences010101 applied mathematicsSettore MAT/05 - Analisi Matematicameasure of noncompactnessF contraction0101 mathematicsContraction (operator theory)Mathematicsdescription
In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings. We also present a new fixed-point existence result obtained by considering such a kind of contraction condition and a measure of noncompactness. Moreover, we show the applicability of these results in the theory of functional equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |