Theory of Approximative Relative Retracts and Its Applications

In the article a simpler and more generalized perspective of approximative multiretracts is presented (see [1]). This perspective allows for new results and applications. In order to reach it, a class of approximative relative retracts will be de ned with the use of single-valued mappings only. Their properties will be studied and some applications to fixed point theory, the theory of the extension of multivalued mappings, to graph-approximation theory and to the theory of approximative retracts will be given.