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

Ravi P. Agarwal1 and Donal O'Regan2

 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

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.