TEOREMA TITIK TETAP UNTUK FUNGSI QUASI KONTRAKSI DI RUANG ULTRAMETRIK

Authors

  • Muhamad Najibufahmi UNiversitas Pekalongan

DOI:

https://doi.org/10.31941/delta.v5i1.409

Keywords:

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

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.

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.

Downloads

Published

2017-08-09