| Summary: | In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying <i>t</i>-norm is left-continuous at <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula>. In the fuzzy setting, the concept of the measure of non-compactness is introduced, and some basic properties of the measure of non-compactness are investigated. Darbo’s generalization of the Schauder-type fixed point theorem is developed for the class of <inline-formula><math display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-set contractions. This theorem is proven by using the idea of the measure of non-compactness.
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