(1) Faculty of Mathematics and Computer Science, Nicolaus Copernicus University of Toruń, Chopina 12/18, 87-100 Toruń, Poland;(2) Technical University of Koszalin, Śniadeckich 2, 75-453 Koszalin, Poland
Abstract:
A concept of generalized topological essentiality for a large class of multivalued maps in topological vector Klee admissible spaces is presented. Some direct applications to differential equations are discussed. Using the inverse systems approach the coincidence point sets of limit maps are examined. The main motivation as well as main aim of this note is a study of fixed points of multivalued maps in Fréchet spaces. The approach presented in the paper allows to check not only the nonemptiness of the fixed point set but also its topological structure.