Results 1 to 10 of about 6,492,121 (341)
Fixed point theory on extension-type spaces and essential maps on topological spaces [PDF]
We present several new fixed point results for admissible self-maps in extension-type spaces. We also discuss a continuation-type theorem for maps between topological spaces.
Donal O'Regan
doaj +4 more sources
Essential maps and coincidence principles for general classes of maps
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. To the memory of Professor Lj. Ćirić (1935–2016)
D. O’Regan
semanticscholar +4 more sources
Coincidence type alternatives for Φ --essential maps
In this paper we present some criteria for Φ-essential maps and as a consequence these generate a number of new Leray-Schauder type alternatives. c ©2016 All rights reserved.
D. O’Regan
semanticscholar +3 more sources
NONLINEAR ESSENTIAL MAPS OF MONCH, 1-SET CONTRACTIVE DEMICOMPACT AND MONOTONE (S)+ TYPE [PDF]
In this paper the notion of an essential map is extended to a wider class of maps. Here we show if F is essential and F≅G, then G has a fixed point.
R. Agarwal, D. O’Regan
semanticscholar +2 more sources
Bayesian analysis of retinotopic maps
Human visual cortex is organized into multiple retinotopic maps. Characterizing the arrangement of these maps on the cortical surface is essential to many visual neuroscience studies. Typically, maps are obtained by voxel-wise analysis of fMRI data. This
Noah C Benson, Jonathan Winawer
doaj +2 more sources
Topological fixed point theory for compact multifunctions via homotopy and essential maps
D. O’Regan
semanticscholar +2 more sources
A Dynamic Points Removal Benchmark in Point Cloud Maps [PDF]
In the field of robotics, the point cloud has become an essential map representation. From the perspective of downstream tasks like localization and global path planning, points corresponding to dynamic objects will adversely affect their performance ...
Qingwen Zhang+5 more
semanticscholar +1 more source
Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class
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
A Topological Coincidence Theory for Multifunctions via Homotopy
A new simple result is presented which immediately yields the topological transversality theorem for coincidences.
Donal O’Regan
doaj +1 more source
Coincidence Continuation Theory for Multivalued Maps with Selections in a Given Class
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