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\(\alpha\)-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