A new type of contraction via measure of non-compactness with an application to Volterra integral equation

Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, all F-Darbo has more general results than already studied literature. Furthermore, explain interesting example. Finally, give application to solve Volterra-type integral equation contraction.