Results 1 to 10 of about 948,157 (255)
Knowledge maps: An essential technique for conceptualisation [PDF]
Data and Knowledge Engineering, 2000 The process of conceptualisation is a fundamental problem-solving activity and, hence, is an essential activity for solving the problem of software systems construction. This paper first analyses the process of conceptualisation generally, that is, not as applied specifically to software systems, and establishes a general-purpose conceptualisation ...
Gómez-Pérez, A. +3 more
exaly +3 more sources
Continuation principles and d-essential maps
Mathematical and Computer Modelling, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D O'Regan
exaly +4 more sources
The Topological Transversality Theorem for Multivalued Maps with Continuous Selections
Mathematics, 2019 This paper considers a topological transversality theorem for multivalued maps with continuous, compact selections. Basically, this says, if we have two maps F and G with continuous compact selections and F ≅ G, then one map being essential ...
Donal O’Regan
doaj +3 more sources
Multivalued essential maps of approximable and acyclic type
Applied Mathematics Letters, 2000 The authors consider multivalued approximable and multivalued acyclic maps. They prove that maps homotopic to an essential map in the class have the fixpoint property.
D O'Regan, R P Agarwal
exaly +2 more sources
Essential and inessential maps and continuation theorems
Applied Mathematics Letters, 2000 In the present paper the notion of essential map [\textit{A. Granas}, C. R. Acad. Sci. Paris, Sér. A 282, 983-985 (1976; Zbl 0348.47039)] is extended to a larger class of maps. For this new notion it is proved that if \(0\) is essential and \(0\cong F\), then \(F\) is essential.
D O'Regan, R P Agarwal
exaly +3 more sources
Essential maps and coincidence principles for general classes of maps
Filomat, 2017 We introduce the notion of an essential map for a general class of maps. In addition we present homotopy and normalization type properties for these maps.
exaly +4 more sources
On essential spectra of operator-matrices and their Feshbach maps
Journal of Mathematical Analysis and Applications, 2004 The paper under review deals with spectral properties of block operator matrices on a direct sum of Banach spaces. The investigated problems are important because many complicated boundary value problems and systems of differential equations can be written in this form.
exaly +3 more sources
Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.
O’Regan Donal
doaj +1 more source
Coincidence Continuation Theory for Multivalued Maps with Selections in a Given Class
Axioms, 2020 This paper considers the topological transversality theorem for general multivalued maps which have selections in a given class of maps.
Donal O’Regan
doaj +1 more source
A Topological Coincidence Theory for Multifunctions via Homotopy
Mathematics, 2020 A new simple result is presented which immediately yields the topological transversality theorem for coincidences.
Donal O’Regan
doaj +1 more source