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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying an integral type contractive condition

Rakesh TİWARİ
S. K. SHRİVASTAVA
V. K. PATHAK
Sayfa
151–158
Yayın Tarihi
2022-10-18
DOI
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Appl. 322 (2), 796–802, 2006).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this note a common fixed point theorem for weakly compatible map- pings satisfying a contractive condition of integral type and the common (E.A) property is established in symmetric spaces.
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Temel Bulgular & Veri:El Moutawakil (Com- mon fixed points under contractive conditions in symmetric spaces, Applied Mathematics E-notes 3, 156–162, 2003; Some new common fixed point theorems under strict contractive conditions, J.
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Sonuç & Katkı:Appl. 322 (2), 796–802, 2006).
🔬Tür:Araştırma Makalesi
📍Kapsam:2003 Verileri
⚙️Değişkenler:Alan Parametreleri

Abstract

In this note a common fixed point theorem for weakly compatible map- pings satisfying a contractive condition of integral type and the common (E.A) property is established in symmetric spaces. This theorem gen- eralizes and improves results of M. Aamri and D. El Moutawakil (Com- mon fixed points under contractive conditions in symmetric spaces, Applied Mathematics E-notes 3, 156–162, 2003; Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270, 181–188, 2002) and Abdelkrim Aliouche (A common fixed point theorem for weakly compatible mappings in symmetric spaces sat- isfying a contractive condition of integral type, J. Math. Anal. Appl. 322 (2), 796–802, 2006).

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Bu Makaleye Atıf Yap

TİWARİ, R., SHRİVASTAVA, S. K., PATHAK, V. K. (2022). A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying an integral type contractive condition. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 151–158. https://ajindex.com/articles/530645

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Kaynakça (9)

  1. Aamri, M. and El Moutawakil, D. Common fixed points under contractive conditions in symmetric spaces, Applied Mathematics E-notes 3, 156–162, 2003
  2. Aamri, M. and El Moutawakil, D. Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270, 181–188, 2002
  3. Aliouche, A. A common fixed point theorem for weakly compatible mappings in symmetric spacs satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322 (2), 796– 802, 2006
  4. Hicks, T. L. and Rhoades, B. E. Fixed point theory in symmetric spaces with applications to probabilistic spaces, Nonlinear Analysis 36, 331–344, 1999
  5. Jungck, G. Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9, 771–779, 1986
  6. Jungck, G and Rhoades, B. E. Fixed points for set valued functions without continuity, Ind. J. Pure. Appl. Math. 29 (3), 227–238, 1998
  7. Liu, W., Wu, J. and Li, Z. Common fixed points of single-valued and multi-valued maps, Int. J. Math. Math. Sc. 19, 3045–3055, 2005
  8. Sessa, S. On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) 32 (46), 149–153, 1982
  9. Wilson, W.A. On semi-metric spaces, Amer. J. Math. 53, 361–373, 1931.