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Fixed points for generalized (alpha, psi)-contractions on generalized metric spaces
Journal article   Open access  Peer reviewed

Fixed points for generalized (alpha, psi)-contractions on generalized metric spaces

Hassen Aydi, Erdal Karapinar and Bessem Samet
Journal of inequalities and applications, Vol.2014(1), pp.1-16
04/06/2014
DOI: https://doi.org/10.1186/1029-242X-2014-229

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce some generalized (alpha, psi)-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.
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https://doi.org/10.1186/1029-242X-2014-229View
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