Common fixed point and best approximation results for subcompatible mappings in hyperbolic ordered metric spaces. (English) Zbl 1349.54136
Summary: In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.
MSC:
54H25 | Fixed-point and coincidence theorems (topological aspects) |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
47H10 | Fixed-point theorems |