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  • https://doi.org/10.1186/1029-242x-2014-229Copy DOI Icon

Fixed points for generalized "Equation missing"-contractions on generalized metric spaces

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Abstract

Abstract In this paper, we introduce some generalized(α,ψ)-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory Appl. 2013:129, 2013), we omit the Hausdorff hypothesis to prove some fixed point results involving such mappings. Some consequences on existing fixed point theorems are also derived.MSC:46T99, 47H10, 54H25.

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