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A minimization theorem in quasi-metric spaces and its applications

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  • Jeong Sheok Ume

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.

Suggested Citation

  • Jeong Sheok Ume, 2002. "A minimization theorem in quasi-metric spaces and its applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 31, pages 1-5, January.
    • Handle: RePEc:hin:jijmms:713605
    DOI: 10.1155/S0161171202110404
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    Cited by:

    1. T. Q. Bao & S. Cobzaş & A. Soubeyran, 2018. "Variational principles, completeness and the existence of traps in behavioral sciences," Annals of Operations Research, Springer, vol. 269(1), pages 53-79, October.

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