SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 1

A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces

Murat OLGUN
Özge BİÇER
İshak ALTUN
Tuğçe ALYILDIZ
Pages
150–156
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the present paper, we proved a related fixed point theorem with F-contraction mappings on two complete metric spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, Wardowski in [Fixed points of a new type of contractive mappings in complete metricspaces,FixedPointTheoryAppl. 2012]introducedtheconceptof F-contractionon completemetricspacewhichisapropergeneralizationofBanachcontractionprinciple.
📊
Key Findings & Data:Recently, Wardowski in [Fixed points of a new type of contractive mappings in complete metricspaces,FixedPointTheoryAppl. 2012]introducedtheconceptof F-contractionon completemetricspacewhichisapropergeneralizationofBanachcontractionprinciple.
💡
Conclusion & Impact:In the present paper, we proved a related fixed point theorem with F-contraction mappings on two complete metric spaces.
🔬Design:Research Article
📍Scope:2012 Verileri
⚙️Variables:Domain Parameters

Abstract

Recently, Wardowski in [Fixed points of a new type of contractive mappings in complete metricspaces,FixedPointTheoryAppl. 2012]introducedtheconceptof F-contractionon completemetricspacewhichisapropergeneralizationofBanachcontractionprinciple. In the present paper, we proved a related fixed point theorem with F-contraction mappings on two complete metric spaces.

🔖

Cite This Article

OLGUN, M., BİÇER, Ö., ALTUN, İ., ALYILDIZ, T. (2022). A Related Fixed Point Theorem for F-Contractions on Two Metric Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 1, 150–156. https://ajindex.com/articles/530528

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. A. Aliouche and B. Fisher, A related fixed point theorem for two pairs of mappings on two complete metric spaces, Hacet. J. Math. Stat. 34, 39-45, 2005.
  2. I. Altun, G. Durmaz, G. Mınak and S. Romaguera, Multivalued almost F -contractions on complete metric spaces, Filomat 30 (2), 441-448, 2016.
  3. B. Fisher, Fixed points on two metric spaces, Glas. Mat. Ser. III 16 (36), 333-337, 1981.
  4. B. Fisher, Related fixed points on two metric spaces, Math. Sem. Notes Kobe Univ. 10, 17-26, 1982.
  5. B. Fisher, R.K. Jain and H.K. Sahu, Related fixed point theorems for three metric spaces, Novi Sad J. Math. 26 (1), 11-17, 1996.
  6. M. Imdad, R. Gubran, M. Arif and D. Gopal, An observation on α-type F -contractions and some ordered-theoretic fixed point results, Math. Sci. 11 (3), 247-255, 2017.
  7. G. Mınak, A. Helvacı and I. Altun, Ciric type generalized F -contractions on complete metric spaces and fixed point results, Filomat 28 (6), 1143-1151, 2014.
  8. G. Mınak, M. Olgun and I. Altun, A new approach to fixed point theorems for multi-valued contractive maps, Carpathian J. Math. 31 (2), 241-248, 2015.
  9. R.K. Namdeo, D. Gupta and B. Fisher, A related fixed point theorem on two metric spaces, Punjab Univ. J. Math. 27, 109-112, 1994.
  10. R.K. Namdeo, S. Jain and B. Fisher, A related fixed point theorem for two pairs of mappings on two complete metric spaces, Hacet. J. Math. Stat. 32, 7-11, 2013.
  11. M. Olgun, G. Mınak and I. Altun, A new approach to Mizoguchi-Takahashi type fixed point theorems, J. Nonlinear Convex Anal. 17 (3), 579-587, 2016.
  12. H. Piri and P. Kumam, Some fixed point theorems concerning F -contraction in com-plete metric spaces, Fixed Point Theory Appl. 2014, 210, 2014.
  13. M. Sgrio and C. Vetro, Multi-valued F -contractions and the solution of certain func-tional and integral equations, Filomat 27 (7), 1259-1268, 2013.
  14. D. Singh, V. Joshi, M. Imdad and P. Kumam, Fixed point theorems via generalized F -contractions with applications to functional equations occurring in dynamic pro-gramming, J. Fixed Point Theory Appl. 19 (2), 1453-1479, 2017.
  15. F. Vetro, F -contractions of Hardy-Rrogers type and application to multistage decision processes, Nonlinear Anal. Model. Control 21 (4), 531-546, 2016.
  16. D. Wardowski, Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012, 94, 2012.
  17. D. Wardowski and N.V. Dung, Fixed points of F -weak contractions on complete metric spaces, Demonstratio Math. 47 (1), 146-155, 2014.