A minimization theorem in quasi-metric spaces and its applications

Jeong Sheok Ume

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-5

Abstract:

We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland's ϵ -variational principle.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:713605

DOI: 10.1155/S0161171202110404

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