A survey on measures of noncompactness with some applications in infinite systems of differential equations. (English) Zbl 07532963
Summary: In this chapter we present a brief survey of theory of measures of noncompactness and discuss some fixed point theorems of Darbo’s type. We describe some applications in the solvability of infinite systems of differential equations in classical sequence spaces.
MSC:
| 47H08 | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
| 47N20 | Applications of operator theory to differential and integral equations |
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