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

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

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/379358

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