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We study possible correlations between ultrahigh energy cosmic rays (UHECRs),observed by Auger, AGASA and Yakutsk, and nearby active galactic nuclei (AGNs)and $Fermi$ sources. We consider the deflection effects by a Galactic magneticfield (GMF) model constrained by the most updated measurements. We found thatthe average deflection angles of UHECRs by the Galactic magnetic fields areless than $4^\circ$. A correlation between the Auger cosmic-ray events andnearby AGNs with a significance level of $\sim 4\sigma$ was found for the AugerUHECR data sets with or without deflection correction. No correlation was foundbetween the AGASA/Yakutsk events with nearby AGNs. Marginal correlationsbetween the Auger events and the $Fermi$ sources, and between AGASA events and$Fermi$ AGNs were found when the deflections calculated by the GMF model wereconsidered. However, no correlation was found between the Yakutsk data and$Fermi$ sources. Some $Fermi$ sources are close to the arrival directions ofUHECR events detected by Auger, AGASA, and Yakutsk, most of which are probablychance coincidence rather than objects producing UHECRs in the nearby Universe.Four $Fermi$ sources, NGC 4945, ESO 323-G77, NGC 6951, and Cen A, within100~Mpc have UHECR events within $3.1^{\circ}$ from their positions, whichcould potentially be cosmic ray accelerators. However, the association can onlybe confirmed if more UHECRs are preferably detected in these directions.

Do Ultrahigh Energy Cosmic Rays Come from Active Galactic Nuclei and Fermi $\gamma$-ray Sources?