Nuclear transition matrix elements (NTME) for neutrinoless positron double beta decay (0νβ + β + and 0νβ + EC) of 64 Zn, 74 Se, 78 Kr and 84 Sr nuclei, which are in the A = 60-90 region, are calculated within the framework of the deformed shell model (DSM) based on Hartree-Fock states. For 64 Zn, GXPF1A interaction in 1 f 7/2 , 2 p 3/2 , 1 f 5/2 and 2 p 1/2 space with 40 Ca as the core is employed. Similarly for 74 Se, 78 Kr and 84 Sr nuclei, 56 Ni is taken as the inert core employing a modified Kuo interaction in 2 p 3/2 , 1 f 5/2 , 2 p 1/2 and 1 g 9/2 space. After ensuring that the DSM gives a good description of the spectroscopic properties of lowlying levels in the four nuclei considered, the NTME are calculated. The halflives deduced with these NTME, assuming the neutrino mass is 1 eV, are smallest for 78 Kr with the half-life for β + EC decay being ∼10 27 yr. For all others, the half-lives are in the range of ∼10 28 -10 29 yr.