TY - JOUR AU - Agarwal, Ravi P. AU - O'Regan, Donal PY - 2003/06/01 Y2 - 2024/03/29 TI - An essential map theory for ${\mathcal U}_c^{\kappa}$ and PK maps JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 21 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2003.023 SP - 375 - 386 AB - This paper presents a continuation theory for${\mathcal U}_c^{\kappa}$ maps. The analysis is elementary and relies on properties of retractions and fixed point theory for self maps. Also we present a separate theory for a certain subclass of ${\mathcal U}_c^{\kappa}$ maps, namely the $PK$ maps. ER -