Existence results for a new class of generalized implicit fuzzy
resolvent dynamical systems in Banach spaces
Abstract
In this paper, we investigate a new class of generalized implicit fuzzy
resolvent dynamical systems involving
$(\mathbf{H}(\cdot,\cdot),\eta)$-monotone
operators in Banach spaces. Employing the approach of Gronwall’s
inequality, generalized resolvent mapping technique and neural network
technique, we prove the existence of solutions for this type of systems
under some suitable conditions. The results presented in this paper
generalize and improve some corresponding results in the literature.