Abstract
In [ 1 ] F. E. Browder and W. V. Petryshyn develop a generalized degree theory for A-proper mappings. This class of mappings is wider than com- pact perturbations of the identity, for which the classical Leray-Schauder degree is defined. Recently Werinski [S] defined a fixed point index for another class of mappings, called Admissible, which includes compact map- pings but does not include the class of A-proper mappings. In this paper we will define a topological degree for a new class of mappings, which we denote A-compact mappings. We will prove that this class contains the classes of A-proper mappings and Admissible mappings. As an application we shall show some classical topological results for not necessarily A-proper mappings.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
