On Isac’s fixed point theorem for selfmaps of a Galerkin cone. (English. Extended French abstract) Zbl 0823.47057

Summary: Recently, using complementarity theory, G. Isac has proved a fixed point theorem for some class of self-maps of a Galerkin cone in a Hilbert space. In this note we extend this theorem to a case of self-maps of an arbitrary closed and convex (not necessarily bounded) subset of a reflexive Banach space.


47H10 Fixed-point theorems
47J25 Iterative procedures involving nonlinear operators