A fixed point theorem for generalized contractive type set-valued mappings with application to nonlinear fractional differential inclusions. (English) Zbl 1491.54162
Summary: In this paper, we present some fixed point results for set-valued mappings of contractive type by using the concept of \(\omega\)-distance. As an application, we prove the existence of solution of nonlinear fractional differential inclusion.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54C60 | Set-valued maps in general topology |
| 54E40 | Special maps on metric spaces |
| 34A08 | Fractional ordinary differential equations |
| 34A60 | Ordinary differential inclusions |
Keywords:
\((\alpha, \psi, p)\)-contractive type; \( \omega \)-distance; nonlinear fractional differential inclusionReferences:
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