\(\alpha\)-admissible contractions on quasi-metric-like space. (English) Zbl 1412.47113
Summary: In the setting of a complete quasi-metric-like space, we investigate some fixed point problems via admissible mappings. Contractive condition includes (c)-comparison function. Definition of \((\alpha,\psi)\)-contraction is generalized and continuity of \(f\) is replaced with regularity of observed space. Presented results improve and extend several results on quasi-metric-like spaces.
MSC:
47H10 | Fixed-point theorems |
54H25 | Fixed-point and coincidence theorems (topological aspects) |
54E40 | Special maps on metric spaces |