TEOREMA TITIK TETAP UNTUK FUNGSI QUASI KONTRAKSI DI RUANG ULTRAMETRIK

Muhamad Najibufahmi

Abstract


Pada artikel ini ditunjukkan bahwa pada ruang ultrametrik, teorema titik tetap untuk fungsi quasi kontraksi bernilai himpunan sepertii pada Amini(2016) dapat berlaku untuk semua k<1.


Keywords


Fixed point, set-valued quasi contraction map, ultrametric space.

Full Text:

PDF

References


A. Amini-Harandi, Fixed point theory for set-valued quasi- contraction maps in metric spaces, Applied Math-

ematics Letters 24 (2016) hal. 1791–1794.

L. B. Ciric, A generalization of Banachs contraction principle, Proceedings of the American Mathematical

Society 45 (1974) hal. 267–273.

C. Petalas, T. Viladis, A fixed point theorem in non-Archimedean vector spaces, Proceedings of the American

Mathematical Society 118 (1993) hal 819–821.

R. Pant, Some new fixed point theorems for contractive and nonexpansive mappings, Filomat 28 (2014) hal.

–317.

Z. Alinejad, A. K. Mirmostafee, Common fixed points of commuting mappings in ultrametric spaces, Matematiqki Vesnik 68 (2016) hal. 204–214.

R. H. Haghi, S. Rezapour, N. Shahzad, On fixed points of quasi-contraction type multifunctions, Applied

Mathematics Letters 25 (2012) hal. 843–846.

M. Berinde, V. Berinde, On a general class of multi-valued weakly Picard mappings, Journal Of Mathematical

Analysis And Application 326 (2007) hal. 772–782.

B. Mohammadi, S. Rezapour, N. Shahzad, Some results on fixed points of α - ψ -Ciric generalized multifunc-

tions, Fixed Point Theory and Applications 2013 (2013) 24.




DOI: http://dx.doi.org/10.31941/delta.v5i1.409

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Delta: Jurnal Ilmiah Pendidikan Matematika

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Delta : Jurnal Ilmiah Pendidikan Matematika
ISSN 2303-3983 (printed) | 2548-3994 (online)
Pendidikan Matematika Universitas Pekalongan
Gedung C Lantai 2 Jalan Sriwijaya No. 3 Kota Pekalongan
website : https://jurnal.unikal.ac.id/index.php/Delta/index

Delta : Jurnal Ilmiah Pendidikan Matematika by Pendidikan Matematika Universitas Pekalongan is licensed under CC BY-SA 4.0