Diametrically contractive maps and fixed points

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.

Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Coincidence and Fixed Points of Nonself Contractive Maps with Applications

We prove some coincidence and common fixed point theorems for nonself maps (not necessarily continuous) satisfying different contractive conditions on an arbitrary nonempty subset of a metric space. As applications, we demonstrate the existence of: (i) common fixed points of the maps from the set of best approximations, (ii) solutions to nonlinear eigenvalue problems. Our work sets analogues, u...

Fixed points of a sequence of locally contractive multivalued maps

We prove the existence of common fixed points of a sequence of multivalued mappings satisfying Edelstein type contractive condition. As an application, common fixed points of a sequence of single valued expansive type mappings have been obtained. © 2008 Elsevier Ltd. All rights reserved.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces