Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 4

Common fixed point of four maps in b-metric spaces

Sayfa
613–624
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also presenttwo examples that show the applicability and validity of our results.

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Amaç & Hipotez:In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b-metric space are proved.Advantage of our work in comparison with studies done in the contextof b-metric is that, the b-metric function used in the theorems andresults are not necessarily continuous.
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Temel Bulgular & Veri:So, our results extend and improve several comparable results obtained previously.
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Sonuç & Katkı:We also presenttwo examples that show the applicability and validity of our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, some common fixed point results for four mappings satisfying generalized contractive condition in a b-metric space are proved.Advantage of our work in comparison with studies done in the contextof b-metric is that, the b-metric function used in the theorems andresults are not necessarily continuous. So, our results extend and improve several comparable results obtained previously. We also presenttwo examples that show the applicability and validity of our results.

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Bu Makaleye Atıf Yap

ABBAS, M., ROSHAN, J. R., SHOBKOLAEİ, N., SEDGHİ, S. (2022). Common fixed point of four maps in b-metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 4, 613–624. https://ajindex.com/articles/530378

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Kaynakça (17)

  1. Abbas, M. and Nazir, T. Fixed points of T -Hardy Rogers type contraction mapping in G -metric spaces, Afrika Matematika, 2012
  2. Aghajani, A. Abbas, M and Roshan, J. R. Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces, to appear in Math. Slovaca
  3. Akkouchi, M. Common fixed point theorems for two selfmappings of a b-metric space under an implicit relation, Hacettepe Journal of Mathematics and Statistics, Volume 40(6), 805- 810. 2011
  4. Aydi, H. Bota, M. Karapınar, E. and Mitrovi´c, S. A fixed point theorem for set-valued quasi-contractions in b-metric spaces, Fixed Point Theory Appl, 2012: 88. 2012
  5. Aydi, H. Bota, M. Karapinar, E. and Moradi, S. A common fixed point for weak ?- contractions on b-metric spaces, Fixed Point Theory, Vol. 13, No. 2, 337-346. 2012
  6. Boriceanu, M. Strict fixed point theorems for multivalued operators in b-metric spaces, International Journal of Modern Mathematics, 4(3), 285-301, 2009
  7. Boriceanu, M. Fixed point theory for multivalued generalized contraction on a set with two b-metrics, Studia Univ. "Babes-Bolyai", Mathematica, Volume LIV, Number 3, 2009
  8. Boriceanu, M. and Bota, M. and Petrusel, A. Multivalued fractals in b-metric spaces, Cent. Eur. J. Math, 8 (2), 367-377, 2010
  9. Bota, M. Molnar, A. and Varga, C. On Ekeland's variational principle in b-metric spaces, Fixed Point Theory, 12 (2), 21-28, 2011
  10. Ciri´c, L.B. Generalized contraction and fixed point theorems, Publications de l´ Institut Mathe´matique, vol. 12, no. 26, pp. 19-26, 1971
  11. Ciri´c, L.B. A generalization of Banach´s contraction principle, Proceedings of the American Math-ematical Society, vol. 45, pp. 267-273, 1974
  12. Czerwik, S. Contraction mappings in b-metric spaces, Acta Math Inf Univ Ostraviensis.1, 5-11, 1993
  13. Czerwik, S. Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Fis. Univ. Modena, 46(2), 263-276, 1998
  14. Czerwik, S, Dlutek, K. Singh, S. L. Round-off stability of iteration procedures for set-valued operators in b-metric Spaces. J Nature Phys Sci., 11, 87-94. 2007
  15. Hardy, G.E. and Rogers, T.D. A generalization of a fixed point theorem of Reich, Canadian Math-ematical Bulletin, vol. 16, pp. 201-206, 1973
  16. Hussain, N. Dori´c, D. Kadelburg, Z. and Radenovi´c, S. Suzuki-type fixed point results in metric type spaces, Fixed Point Theory Appl., doi:10.1186/1687-1812-2012-126, 2012
  17. Hussain, N. and Shah, M.H. KKM mapp