Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces. (English) Zbl 1469.54047

Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapınar, Erdal; Rakočević, Vladimir

Abstr. Appl. Anal. 2014, Article ID 379358, 15 p. (2014).

Summary: We establish some fixed point theorems for \(\alpha\)-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 \(\alpha- \phi\)-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.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54E40	Special maps on metric spaces

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