AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary
The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.
Authors: IOAN A. RUS.
Received 04 January 2023; Accepted 01 March 2023. Published Online: 2023-06-14
Published Print: 2023-07-30
pp. 449-463
VIEW PDF
FULL PDF
In this paper we give an abstract coincidence point result with respect to which some results such as of Peetre-Rus (I.A. Rus, Teoria punctului fix în analiza funcțională, Babeș-Bolyai Univ., Cluj-Napoca, 1973), A. Buică (A. Buică, Principii de coincidență și aplicații, Presa Univ. Clujeană, Cluj-Napoca, 2001) and A.V. Arutyunov (A.V. Arutyunov, Covering mappings in metric spaces and fixed points, Dokl. Math., 76(2007), no.2, 665-668) appear as corollaries. In the case of multivalued mappings our result generalizes some results given by A.V. Arutyunov and by A. Petrușel (A. Petrușel, A generalization of Peetre-Rus theorem, Studia Univ. Babeș-Bolyai Math., 35(1990), 81-85). The impact on metric fixed point theory is also studied.
Mathematics Subject Classification (2010): 54H25, 47H10, 47H04, 54C60, 47H09.
Keywords: Metric space, singlevalued and multivalued mapping, coincidence point metric condition, fixed point metric condition, covering mapping, coincident point displacement, fixed point displacement, iterative approximation of coincidence point, iterative approximation of fixed point, weakly Picard mapping, pre-weakly Picard mapping, Ulam-Hyers stability, well-posedness of coincidence point problem.
