On Contra-$(\tau_1,\tau_2)p$-continuity and Almost Contra-$(\tau_1,\tau_2)p$-continuity for Multifunctions

This paper presents four new classes of multifunctions called upper contra-$(\tau_1,\tau_2)p$-continuous multifunctions, lower contra-$(\tau_1,\tau_2)p$-continuous multifunctions, upper almost contra-$(\tau_1,\tau_2)p$-continuous multifunctions and lower almost contra-$(\tau_1,\tau_2)p$-continuous multifunctions. Furthermore, several characterizations and some properties concerning upper contra-$(\tau_1,\tau_2)p$-continuous multifunctions, lower contra-$(\tau_1,\tau_2)p$-continuous multifunctions, upper almost contra-$(\tau_1,\tau_2)p$-continuous multifunctions and lower almost contra-$(\tau_1,\tau_2)p$-continuous multifunctions are established.