The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied mathematics.

It discusses important topics such as measures of noncompactness in the space of regulated functions, application in nonlinear infinite systems of fractional differential equations, and coupled fixed point theorem. Key Highlights:Explains numerical solution of functional integral equation through coupled fixed point theorem, measure of noncompactness and iterative algorithmShowcases applications of the measure of noncompactness and Petryshyn’s fixed point theorem functional integral equations in Banach algebraExplores the existence of solutions of the implicit fractional integral equation via extension of the Darbo’s fixed point theoremDiscusses best proximity point results using measure of noncompactness and its applicationsIncludes solvability of some fractional differential equations in the holder space and their numerical treatment via measures of noncompactnessThis reference work is for scholars and academic researchers in pure and applied mathematics.

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