Remarks on recent fixed point theorems for compatible maps.
Remarks on some fixed point theorems.
Remarks on weakly KKM maps in abstract convex spaces.
Results on common fixed points.
Results on fixed point theorems
Results On Non-Unique Fixed Points
Results on non-unique fixed points.
Results on the existence and convergence of best proximity points.
Rétractes Absolus de Voisinage Algébriques
2000 Mathematics Subject Classification: 54C55, 54H25, 55M20.We introduce the class of algebraic ANRs. It is defined by replacing continuous maps by chain mappings in Lefschetz’s characterization of ANRs. To a large extent, the theory of algebraic ANRs parallels the classical theory of ANRs. Every ANR is an algebraic ANR, but the class of algebraic ANRs is much larger; the most striking difference between these classes is that every locally equiconnected metrisable space is an algebraic ANR, whereas...
Revisiting Cauty's proof of the Schauder conjecture.