Journal of Applied Mathematics and Stochastic Analysis
Volume 14 (2001), Issue 3, Pages 293-301
doi:10.1155/S1048953301000259
Nonlinear essential maps of Mönch, 1-set contractive demicompact and monotone (S)+ type
1National University of Singapore, Department of Mathematics, 10 Kent Ridge Crescent, 119260, Singapore
2National University of Ireland, Department of Mathematics, Galway, Ireland
Received 1 February 2000; Revised 1 June 2000
Copyright © 2001 Ravi P. Agarwal and Donal O'Regan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.