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In this work, we study the existence of mild solutions for a class of partial integrodifferential equations with nonlocal conditions. Our analysis uses the resolvent operator theory and relies on a new fixed point theorem of Sadovskii-Krasnosel'skii type. Our results improve and complement several earlier related works. Some examples are provided to illustrate the theoretical results. 2010 Mathematics Subject Classification. 45K05, 47H10, 47D06.doi:10.3336/gm.51.2.09 fatcat:euww22abyjgp5fkrtn5kwaijwa