Fixed points of C2 maps

Curves of fixed points of trace maps

We study curves of fixed points for certain diffeomorphisms of R3 that are induced by automorphisms of a trace algebra. We classify these curves. There is a function E which is invariant under all such trace maps and the level surfaces Et : E = t are invariant; a point of Et will be said to have level t . The surface E1 is significant. Then most fixed points onE1 are actually on a curve γ of fi...

Fixed Points of Generalized Contractive Maps

Recommended by Hichem Ben-El-Mechaiekh We prove some results on the existence of fixed points for multivalued generalized w-contractive maps not involving the extended Hausdorff metric. Consequently, several known fixed point results are either generalized or improved.

Othogonality and Fixed Points of Nonexpansive Maps

The concept of weakorthogonality for a Banach lattice is examined. A proof that in such a lattice non expansive self maps of a non empty weakly compact convex set have fixed points is outlined. A geometric generalization of weakorthogonality is introduced and related to the Opial condition. AMS subject classification: 47H10

Fixed Points and Periodic Points of Semiflows of Holomorphic Maps

Let φ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of φ implies that φ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗-algebra and φ acts isometrically. More precise results are provided when t...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces