Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Generalized weakly contractive multivalued mappings and common fixed points

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].

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 and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces

In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.

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...