Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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COMMON FIXED POINT THEOREMS FOR THREE MAPPINGS IN GENERALIZED MODULAR METRIC SPACES

  • Received : 2023.09.24
  • Accepted : 2023.12.31
  • Published : 2024.03.30
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Abstract

In this paper, we obtain common fixed point theorems for three mappings of contractive type in the setting of generalized modular metric spaces. Our results generalize many results available in the literature including common fixed point theorems.

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References

  1. A.A.N. Abdou, Fixed points of Kannan maps in modular metric spaces, AIMS Mathematics 5 (6) (2020), 6395-6403. https://doi.org/10.3934/math.2020411 
  2. A. Branciari, "A fixed point theorem of Banach- Caccippoli type on a class of generalized metric spaces", Publ. Math. Debrecen, 57 (1-2) (2000) 31-37.  https://doi.org/10.5486/PMD.2000.2133
  3. A. Gholidahneh, S. Sedghi, O. Ege, Z. D. Mitrovic and M. de la Sen, The Meir-Keeler type contractions in extended modular b-metric spaces with an application, AIMS Mathematics, 6 (2) (2021) 1781-1799. https://doi.org/10.3934/math.2021107 
  4. Aleksa Malceski, Samoil Malceski, Katerina Anevska and Risto Malceski, New Extension of Kannan and Chatterjea Fixed Point Theorems on Complete Metric Spaces, British Journal of Mathematics and Computer Science, 17 (1) (2016) 1-10. https://doi.org/10.9734/BJMCS/2016/25864 
  5. Alexandru-Darius Filip and Adrian Petru,sel, Fixed Point Theorems on Spaces Endowed with Vector-Valued Metrics, Hindawi Publishing Corporation Fixed Point Theory and Applications, (2010). https://doi.org/10.1155/2010/281381 
  6. Al Pervo On the Cauchy problem for a system of ordinary differential equations, Pvi-blizhen met Reshen Diff Uvavn, 2 (1964) 115-134. 
  7. A. Sheela and U. Karuppiah, A note on Nadler's fixed point theorem in modular generalized metric space, JP Journal of Fixed Point Theory and Applications, 14 (3) (2019) 107-114. http://dx.doi.org/10.17654/FP014030107 
  8. C. Alaca, M.E. Ege and C. Park, Fixed point results for modular ultrametric spaces, Journal of Computational Analysis and Applications, 20 (7) (2016) 1259-1267. 
  9. G.A. Okeke, D. Francis and M. de la Sen, Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications, Heliyon, 6 (8) (2020) e04785. https://doi.org/10.1016/j.heliyon.2020.e04785 
  10. H. Hosseinzadeh and V. Parvaneh, MeirKeeler type contractive mappings in modular and partial modular metric spaces, Asian-European Journal of Mathematics, 13 (1) (2020) 20500874. 5 https://doi.org/10.1142/S1793557120500874 
  11. M.E. Ege and C. Alaca, Fixed point results and an application to homotopy in modular metric spaces, Journal of Nonlinear Science and Applications, 8 (6) (2015), 900-908. http://dx.doi.org/10.22436/jnsa.008.06.01 
  12. M.E. Ege and C. Alaca, Some properties of modular S-metric spaces and its fixed point results, Journal of Computational Analysis and Applications, 20(1) (2016) 24-33. 
  13. M.E. Ege and C. Alaca, Some Results for Modular b-Metric spaces and an Application to System of linear Equations, Azerbaijan Journal of Mathematics, 8 (1) (2018), 3-14. ISSN 2218-6816 
  14. M. Ramezani, H. Baghani, O. Ege and M. De la Sen, A new version of Schauder and Petryshyn type fixed point theorems in s-modular function spaces, Symmetry-Basel, 12 (1) (2020), 1-8. https://doi.org/10.3390/sym12010015 
  15. Muhammad Usman Ali, Tayyab Kamran, Hassan Houmani and Mihai Postolache, On the Solution of a System of Integral Equations via Matrix Version of Banach Contraction Principle, Communications in Mathematics and Applications, 8 (3) (2017) 207-215. https://www.rgnpublications.com/journals/index.php/cma/article/view/548 
  16. R. Kannan, Some Results on Fixed Points-II, MATHEMATICAL NOTES, The American Mathematical Monthly, 76(4) (1969) 405-408. https://doi.org/10.2307/2316437 
  17. S. K. Chatterjea, Fixed Point Theorems, C.R. ACad., Bulgare Sci, 25 (1972), 727-730. 
  18. Xian Zhang, Common fixed point theorems for some new generalized contractive type mappings, Journal of Mathematical Analysis and Applications, 333 (2) (2007), 780-786. https://doi.org/10.1016/j.jmaa.2006.11.028