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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.18 No.1

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EXTENSIONS OF MINIMIZATION THEOREMS AND FIXED POINT THEOREMS ON A D*-METRIC SPACE

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.1, pp.13-29
https://doi.org/10.7468/jksmeb.2011.18.1.013
Park, Sung-Bok
Ume, Jeong-Sheok
Park,, S. , & Ume,, J. (2011). EXTENSIONS OF MINIMIZATION THEOREMS AND FIXED POINT THEOREMS ON A D*-METRIC SPACE. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(1), 13-29, https://doi.org/10.7468/jksmeb.2011.18.1.013

Abstract

In this paper, we introduce the new concept of <TEX>${\omega}-D^*$</TEX>-distance on a <TEX>$D^*$</TEX>-metric space and prove a non-convex minimization theorem which improves the result of Caristi[1], <TEX>${\'{C}}iri{\'{c}}$</TEX>[2], Ekeland[4], Kada et al.[5] and Ume[8, 9].

keywords
minimization theorem, fixed point theorem, <tex> $D^*$</tex>-metric, <tex> ${\omega}-D^*$</tex>-distance

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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