KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2008 / Volume: 37 Issue: 2

COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS

K. P. R. Rao
G. R. Babu
B. Fisher
Sayfa
—
Yayın Tarihi
2008-02-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also give a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we introduce the notion of a pair (f, g) being weakly fcompatible and obtain a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results.
📊
Temel Bulgular & Veri:In this paper we introduce the notion of a pair (f, g) being weakly fcompatible and obtain a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results.
💡
Sonuç & Katkı:We also give a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sequentially compact · Common fixed points

Abstract

In this paper we introduce the notion of a pair (f, g) being weakly fcompatible and obtain a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results. We also give a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces.

🔖

Bu Makaleye Atıf Yap

Rao, K. P. R., Babu, G. R., Fisher, B. (2008). COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics, Volume: 37 Issue: 2. https://ajindex.com/articles/1403767

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (19)

  1. Banach, S. Theoric les operations Lineairar (Manograic Mathematic Zne, Warsaw, 1932).
  2. Cho, Seong Hoon On common fixed points in fuzzy metric spaces, International Mathemat- ical Forum 1 (10), 471–479, 2006.
  3. Cho, Y. J., Pathak, H, K., Kang, S. M. and Jung, J. S. Common fixed points of compatible maps of type (β) on fuzzy metric spaces, Fuzzy Sets and Systems, 93, 99–111, 1998.
  4. Edelstein, M. On fixed and periodic points under contradiction mapping, J. London Math. Soc. 37, 74–79, 1962.
  5. Fang, J.X. On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 46, –113, 1992.
  6. Fisher, B. Results on common fixed points on bounded metric spaces, Math. Sem. Notes 7, –80, 1979.
  7. George, A. and Veeramani, P. On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64, 395–399, 1994.
  8. Grabiec, M. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27, 385–389, 1988.
  9. Jungck, G. and Rhoades, B. E. Fixed points for set-valued functions without continuity, Indian J. Pure. Appl. Math., 29 (3), 227–238, 1998.
  10. Khan, M. S., Pathak, H. K. and George, R. Compatible mapping of type (A-1) and type (A-2) and common fixed points in fuzzy metric spaces, International Mathematical Forum (11), 515–524, 2007.
  11. Kramosil, O. and Michalek, J. Fuzzy metric and statistical metric spaces, Kybernetica 11, –334, 1975.
  12. Lopez, J. Rodrigues and Romaguera, S. The Hausdorff fuzzy metric on compact sets, Fuzzy Sets and Systems 147 (2), 273–283, 2004.
  13. Mishra, S. N., Sharma, S. N. and Singh, S. L. Common fixed points of maps in fuzzy metric spaces, Internat. J. Math. Sci. 17, 253–258, 1994.
  14. Naidu, S. V. R. Fixed point theorems for four self maps on a metric space by altering dis- tance, J. Indian Math. Soc., 71 (1-4), 153–173, 2004.
  15. Schweizer, B. and Sklar, A. Statistical metric spaces, Pacific J. Math. 10, 314–334, 1960.
  16. Sharma, S. Common fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems,, 345–352, 2002.
  17. Singh, Bijenra and Chauhan, M. S. Common fixed points of compatible maps in fuzzy metric spaces, Fuzzy Sets and Systems 115, 471–475, 2000.
  18. Zadeh, L. A. Fuzzy sets, Inform. and Control, 8, 338–353, 1965.
  19. Sharma, S. Common fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems,, 345–352, 2002.