Ciric type multi-valued $alpha _{ast }$-$eta _{ast }$-$theta $-contractions on b-metric spaces with applications

Abstract

‎In this paper‎, ‎we give sufficient conditions for the existence of solutions‎ of a system of Volterra-type integral inclusion equations using new sort of‎ multi-valued contractions‎, ‎named as generalized multi-valued $alpha _{ast‎} ‎$-$eta _{ast }$-$theta $-contractions defined on $alpha $-complete‎ ‎b-metric spaces‎. ‎We give its relevance to fixed point results‎. ‎We set up an‎ ‎example to elucidate our main results‎.