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Dergiler / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space

Esra Yolacan(ATATURK UNIVERSITY)
Hukmi Kiziltunc(ATATURK UNIVERSITY)
Sayfa
36–48
Yayın Tarihi
2016-09-30
DOI
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Moreover, the present results are supported by two illustrative examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we establish some common fixed point theorems for mappings satisfying an contractive condition in complete metric-like space.
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Temel Bulgular & Veri:Our results extend and generalize many existing results in the literature.
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Sonuç & Katkı:Moreover, the present results are supported by two illustrative examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Common fixed point · weakly compatible · 0-σ-complete

Abstract

In this paper, we establish some common fixed point theorems for mappings satisfying an contractive condition in complete metric-like space. Our results extend and generalize many existing results in the literature. Moreover, the present results are supported by two illustrative examples.

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Bu Makaleye Atıf Yap

Yolacan, E., Kiziltunc, H. (2016). Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 36–48. https://ajindex.com/articles/1657723

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Kaynakça (12)

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  2. Karapinar, E. and Salimi, P.: Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory Appl. 2013, (222) (2013).
  3. Kohli, M., Shristava, R., Sharma, M.: Some results on fixed point theorems in dislocated quasi metric space, Int. J. Theoret. Appl. Sci. 2 (2010), 27-28.
  4. Ren, Y., Li, J., Yu, Y.: Common fixed point theorems for nonlinear contractive mappings in dislocated metric spaces, Abstract and Applied Analysis Volume 2013, Article ID 483059, 5 pages.
  5. Aydi, H., Karapinar, E.: Fixed point results for generalized α-ψ-contractions in metric-like spaces and applications, Electronic Journal of Differential Equations Volume 2015, No. 133, pp. 1-15, ISSN: 1072-6691.
  6. Matthews, S. G.: "Partial metric topology", Annals of the New York Academy of sciences: General Topology and Applications, vol. 728, pp. 183-197, 1994.
  7. Matthews, S. G.: "Partial metric topology", Proc. 8 th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci., 728 (1994) 183-197. http://dx.doi.org/10.1111/j.1749-6632.1994.tb44144x
  8. Shukla, S., Radenovic',S., Rajic', V. C'.: Some common fixed point theorems in 0-σ-complete metric-like spaces, Vietnam J. Math (2013) 41: 341-352.
  9. Abbas, M., Jungck, J.: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl. 341, 341, 416-420 (2008).
  10. Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for α-ψ-contractive type mappings. Nonlinear Anal. 75, 2154-2165 (2012).
  11. Shahi, P., Kaur, J., Bhatia, S. S.: Coincidence and common fixed point results for generalized α-ψ-contractive type mappings with applications. arXiv: 1306.3498v1 [math. FA] 14 Jun 2013.
  12. Fadail, Z. M., Ahmad, A. G. B., Ansari, A. H., Radenovic', S, Rajovic', M.: Some common fixed point results of mappings in 0-σ-complete metric-like spaces. Applied Mathematical Sciences, Vol. 9, 2015, no. 83, 5009-5027.