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TEOREMA TITIK TETAP FUNGSI YANG KONTRAKSI TEGAS

*Michael Inuhan  -  Department of Mathematics, Gajah Mada University, Yogyakarta, Indonesia
Ch. Rini Indrati  -  Department of Mathematics, Gajah Mada University, Yogyakarta, Indonesia

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Abstract

In this paper, it will be discussed some fixed point theorems in ultrametric spaces. By using spherically complete properties, it can be shown that there exists a unique fixed point of strictly contractive function. At the end, it will be shown there exists fixed point of strictly contracting on orbits function.

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  1. A Lemin, "On Ultrametrization of General Metric Spaces," Proceedings American Mathematical Society, vol. 131, no. 3, pp. 979-989, October 2002
  2. C Petalas and T Vidalis, "A Fixed Point Theorem in Non-archimedean Vector Spaces," Proceedings of the American Mathematical Society, vol. 118, no. 3, pp. 819-821, July 1993
  3. E Matsikoudis and Edward A Lee, "The Fixed Point Theory of Strictly Contracting Functions on Generalized Ultrametric Semilattices," Fixed Point in Computes Science, vol. 126, no. 5, pp. 56-71, - 2013
  4. Ravi P Agarwal, Maria Meehan, and Donal O'regan, Fixed Point Theory and Applications, 1st ed., B Bollobas, Ed. Cambridge, United Kingdom: Cambridge University Press, 2004
  5. S Priess-Crampe, "Der Banachsche Fixpunktsatz fur Ultrametrische Raume," Results Math, vol. 18, no. 1-2, pp. 178-186, - 1990
  6. S Priess-Crampe and P Ribenboim, "Fixed Point and Attactor Theorems for Ultrametric Spaces," Forum Math, vol. 12, no. -, pp. 53-64, - 2000
  7. S Rolewicz, "On Orbits of Element," Studia Mathematica, vol. 32, no. -, pp. 17-22, - 1969
  8. W. A Kirk and N Shahzad, "Some Fixed Point Results in Ultrametric Spaces," Elsevier, vol. 159, no. -, pp. 3327-3334, July 2012
  9. W. H Schikhof, Ultrametric Calculus, 1st ed., D. J. H Garling and D Gorenstein, Eds. Cambridge, United Kingdom: Cambridge University Press, 1984

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