Fixed point results for Meir-Keeler countably condensing operators

Abstract In this work, we introduce the concept of Meir-Keeler countably condensing operators relative to a measure of weak noncompactness. We then establish new fixed point results of Darbo and Krasnosel’skii types. These results is formulated in terms of the sequential weak continuity, the concept of Meir-Keeler countably condensing maps and the De Blasi measure of weak noncompactness.