Cosmological analysis of F((R)over-tilde) models via pilgrim dark energy

In this work, we elaborate the correspondence phenomenon in the scenario of modified Horava-Lifshitz F(R) gravity and pilgrim dark energy. We assume Hubble as well as event horizons of pilgrim dark energy and reconstruct the F((R) over tilde) models in the present context which satisfy the realistic condition of modified gravities. The equation of state parameter shows quintom-like behavior for most of cases of m in both Hubble as well as event horizons cases. The squared speed of sound provides stability of F((R) over tilde) models for all cases of m and u. The omega(DE)-omega(DE)' analysis in this scenario corresponds to freezing as well as thawing regions which is consistent with accelerated expansion of the universe. It is also interesting to mention here that the statefinders approaches to Lambda CDM limit for all cases of m and u. It is concluded that all the cosmological parameters corresponding to reconstructed F((R) over tilde) models consistent with present day observations.