α-admissible contractions on quasi-metric-like space

Abstract

In the setting of a complete quasi-metric-like spaces we investigate some fixed point problems via admissible mappings. Contractive condition includes (c)-comparison function. Definition of (α,ψ)-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.

Keywords

• quasi-metric-like space,fixed point,α- admissible,(b)-comparison functions

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