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Dergiler / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 4 Issue: 3

Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions

Esra Dalan Yıldırım(YAŞAR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0002-6553-771X
Ayşegül Çaksu Güler(EGE ÜNİVERSİTESİ)0000-0002-6811-9919
Oya Bedre Özbakır(EGE ÜNİVERSİTESİ)0000-0002-6582-4460
Sayfa
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Yayın Tarihi
2021-09-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we discuss some fixed point results in relation to existing ones.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties.
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Temel Bulgular & Veri:Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions.
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Sonuç & Katkı:Also, we discuss some fixed point results in relation to existing ones.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:b-metric · b-simulation function · $\theta$-metric

Abstract

We introduce the concept of $b$-$\theta$-metric space as a generalization of $\theta$-metric space and investigate some of its properties. Then, we establish a fixed point theorem in $b$-$\theta$-metric spaces via $b$-simulation functions. Thus, we deduce Banach type fixed point in such spaces. Also, we discuss some fixed point results in relation to existing ones.

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Bu Makaleye Atıf Yap

Yıldırım, E. D., Güler, A. Ç., Özbakır, O. B. (2021). Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions. Fundamental Journal of Mathematics and Applications, Volume: 4 Issue: 3. https://doi.org/10.33401/fujma.890533

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Kaynakça (8)

  1. I. A. Bakhtin, The contraction mapping principle in almost metric space, Functional Analysis, 30(1989), 26-37.
  2. S. Czerwik, Contraction mappings in b-metric spaces, Acta. Math. Inform. Univ. Ostraviensis, 1(1993), 5-11.
  3. S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Sem. Mat. Univ. Modena, 46(1998), 263-276.
  4. R. George, B. Fisher, Some generalized results of fixed points in cone b-metric spaces, Math. Moravic., 17(2013), 39- 50.
  5. F. Khojasteh, E. Karapinar, S. Randenvic, q-metric space: a generalization, Math. Probl. Eng., Art. ID:504609, (2013), 7pp.
  6. F. Khojasteh, S. Shukla, S. Radenovic, A new approach to the study of fixed point theory for simulation functions, Filomat, 29(6)(2015), 1189- 1194.
  7. A.Chanda, B. Damjanovi ´ c, L. K. Dey, Fixed point results on q-metric spaces via simulation functions, Filomat, 31(11)(2017), 3365-3375.
  8. M. Demma, R. Saadati, P. Vetro, Fixed point results on b-metric space via Picard sequences and b- simulation functions, Iranian J. Math. Sci. Inform., 11(1)(2016), 123- 136.