Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces

We establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping f defined on a metric-like space X. The given...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.226-240-527
Hauptverfasser: Saleh A. Al-Mezel, Chi-Ming Chen, Erdal KarapJnar, Vladimir Rakocevic
Format: Artikel
Sprache:eng
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Zusammenfassung:We establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping f defined on a metric-like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/379358