The authors study the use of measure of noncompactness in metric fixed point theory. The plan of the paper is as follows: Preface, Kuratowski and Hausdorff measure of noncompactness, \(\phi\)-minimal sets and the separation measure of noncompactness, Moduli of noncompact convexity, Fixed point theorems derived from normal structure, Fixed points in NUS spaces, Asymptotically regular mappings, Comments and further results.
For the entire collection see [Zbl 0970.54001].