The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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EXTENSIONS OF MINIMIZATION THEOREMS AND FIXED POINT THEOREMS ON A $D^*$-METRIC SPACE

  • Park, Sung-Bok (Department of Applied Mathematics, Changwon National University) ;
  • Ume, Jeong-Sheok (Department of Applied Mathematics, Changwon National University)
  • Received : 2010.06.29
  • Accepted : 2011.02.15
  • Published : 2011.02.28
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Abstract

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

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References

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