Common fixed points for commuting mappings in hyperconvex spaces

Common Fixed Points of Two Commuting Mappings in Complete Metric Spaces

Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....

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.

Hyperconvex Spaces and Fixed Points

New fixed point results for a very general class of maps on hyperconvex spaces are given. Our theory relies on the fact that hyperconvex compact spaces are absolute retracts. Also maps on k-CAR sets are discussed. 2000 Mathematics Subject Classification: 47H10.

Common Fixed Points for Minimal Commuting Mappings Satisfying (ψ-φ)-contractive Conditions in Multiplicative Metric Spaces

In this paper, we prove common fixed point theorems for minimal commuting mappings satisfying (ψ-φ)-contractive conditions in multiplicative metric spaces. AMS Subject Classification: 47H10, 54H25