  This work is based on pilgrim dark energy conjecture which states that
phantom-like dark energy possesses the enough resistive force to preclude the
formation of black hole. The non-flat geometry is considered which contains the
interacting generalized ghost pilgrim dark energy with cold dark matter. Some
well-known cosmological parameters (evolution parameter ($\omega_{\Lambda}$)
and squared speed of sound) and planes ($\omega_{\Lambda}$-$\omega_{\Lambda}'$
and statefinder) are constructed in this scenario. The discussion of these
parameters is totally done through pilgrim dark energy parameter ($u$) and
interacting parameter ($d^2$). It is interesting to mention here that the
analysis of evolution parameter supports the conjecture of pilgrim dark energy.
Also, this model remains stable against small perturbation in most of the cases
of $u$ and $d^2$. Further, the cosmological planes correspond to $\Lambda$CDM
limit as well as different well-known dark energy models.
