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http://dx.doi.org/10.7468/jksmeb.2011.18.1.013

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)
Publication Information
The Pure and Applied Mathematics / v.18, no.1, 2011 , pp. 13-29 More about this Journal
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], ${\[2], Ekeland[4], Kada et al.[5] and Ume[8, 9].
Keywords
minimization theorem; fixed point theorem; $D^*$-metric; ${\omega}-D^*$-distance;
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