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The existence of continuous not necessarily bounded solutions of nonlinearfunctional Volterra integral inclusions in infinite dimensional setting isshown with the aid of the measure of nonequicontinuity. New abstracttopological fixed point results for admissible condensing operators areintroduced. Weak compactness criterion in the space of locally integrablefunctions in the sense of Bochner is set forth. Some examples illustrating theusefulness of the presented approach are also included.

journal of computational and applied mathematics

Existence of solutions for a class of multivalued functional integral  equations of Volterra type via the measure of nonequicontinuity on the  Fr\'echet space ${\bf C(\Omega,E)}$