TY - JOUR
AU - Benkafadar, Nasreddine Mohamed
AU - Benkara-Mostefa, M. C.
PY - 2005/04/01
Y2 - 2024/07/23
TI - A generalized coincidence point index
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 6
IS - 1
SE -
DO - 10.4995/agt.2005.1959
UR - https://polipapers.upv.es/index.php/AGT/article/view/1959
SP - 87-100
AB - <p>The paper is devoted to build for some pairs of continuous single-valued maps a coincidence point index. The class of pairs (f, g) satisfies the condition that f induces an epimorphism of the Cech homology groups with compact supports and coefficients in the field of rational numbers Q. Using this concept one defines for a class of multi-valued mappings a fixed point degree. The main theorem states that if the general coincidence point index is different from {0}, then the pair (f, g) admits at least a coincidence point. The results may be considered as a generalization of the above Eilenberg-Montgomery theorems [12], they include also, known fixed-point and coincidence-point theorems for single-valued maps and multi-valued transformations.</p>
ER -