Research Article
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Fixed Soft Points on Parametric Soft Metric Spaces

Year 2022, Issue: 38, 42 - 51, 31.03.2022

Yeşim Tunçay Vildan Çetkin

https://doi.org/10.53570/jnt.1062268

Abstract

This manuscript is devoted to investigating the existence of fixed soft points under conditions in the parametric soft metric spaces. Since the parametric soft metric spaces are the parametric expansions of the parametric metric and soft metric spaces, the observations of the fixed-point results are meaningful to consider in such spaces.

Keywords

Soft set parametric soft metric fixed point theory self-soft mapping

References

  • N. Hussain, S. Khaleghizadeh, P. Salimi, A. A. N. Abdou, A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces, Abstract and Applied Analysis Article ID 690138 (2014) 16 pages.
  • K. P. R. Rao, D. V. Babu, E. T. Ramudu, Some Unique Common Fixed Point Theorems in Parametric S-Metric Spaces, International Journal of Innovative Research in Science, Engineering and Technology 3 (2014) 14375–14387.
  • V. Çetkin, Parametric 2-Metric Spaces and Some Fixed Point Results, New Trends in Mathematical Sciences 7(4) (2019) 503–511.
  • Ö. Ege, İ. Karaca, Fixed Point Theorems and an Application in Parametric Metric Spaces, Azerbaijan Journal of Mathematics 7 (2017) 27–39.
  • R. Jain, R. D. Daheirai, M. Ughade, Fixed Point, Coincidence Point and Common Fixed Point Theorems under Various Expansive Conditions in Parametric Metric Spaces and Parametric b-Metric Spaces, Gazi University Journal of Science 29(1) (2016) 95–107.
  • N. Taş, N. Y. Özgür, On Parametric S-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings, Journal of Mathematics Article ID 4746732 (2016) 6 pages.
  • H. Hosseinzadeh, Fixed Point Theorems on Soft Metric Spaces, Journal of Fixed Point Theory and Applications 19(2) (2017) 1625–1647.
  • R. Bhardwaj, H. G. S. Kumar, B. K. Singh, Q. A. Kabir, P. Konak, Fixed Point Theorems in Soft Parametric Metric Space, Advances in Mathematics: Scientific Journal 9(12) (2020) 10189–10194.
  • S. Das, S. K. Samanta, Soft Metric, Annals of Fuzzy Mathematics and Informatics 6 (2013) 77–94.
  • Y. Tunçay, V. Çetkin, Parametric Soft Metric Spaces, in: U. Mutman, C. Özkale (Eds.), IV. The International Symposium on Engineering, Natural Sciences and Architecture, Kocaeli, Turkey, 2021, pp. 60–64.
  • D. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999) 19–31.
  • P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45 (2013) 555–562.
  • S. Das, S. K. Samanta, Soft Real Sets, Soft Real Numbers and Their Properties, Journal of Fuzzy Mathematics 20(3) (2012) 551–576.
  • A. Kharal, B. Ahmad, Mappings on Soft Classes, New Mathematics and Natural Computation 7(3) (2011) 471–481.
  • N. Y. Özgür, N. Taş, U. Çelik, New Fixed-Circle Results on S-metric Spaces, Bulletin of Mathematical Analysis and Applications 9(2) (2017) 10–23.
  • N. Taş, N. Y. Özgür, Some Fixed-Point Results on Parametric N_b-metric Spaces, Communications of Korean Mathematical Society 33(3) (2018) 943–960.
  • N. Y. Özgür, N. Taş, Some Fixed-Circle Theorems on Metric Spaces, Bulletin of the Malaysian Mathematical Sciences Society 42 (2019) 1433–1449.

Year 2022, Issue: 38, 42 - 51, 31.03.2022

Yeşim Tunçay Vildan Çetkin

https://doi.org/10.53570/jnt.1062268

Abstract

References

  • N. Hussain, S. Khaleghizadeh, P. Salimi, A. A. N. Abdou, A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces, Abstract and Applied Analysis Article ID 690138 (2014) 16 pages.
  • K. P. R. Rao, D. V. Babu, E. T. Ramudu, Some Unique Common Fixed Point Theorems in Parametric S-Metric Spaces, International Journal of Innovative Research in Science, Engineering and Technology 3 (2014) 14375–14387.
  • V. Çetkin, Parametric 2-Metric Spaces and Some Fixed Point Results, New Trends in Mathematical Sciences 7(4) (2019) 503–511.
  • Ö. Ege, İ. Karaca, Fixed Point Theorems and an Application in Parametric Metric Spaces, Azerbaijan Journal of Mathematics 7 (2017) 27–39.
  • R. Jain, R. D. Daheirai, M. Ughade, Fixed Point, Coincidence Point and Common Fixed Point Theorems under Various Expansive Conditions in Parametric Metric Spaces and Parametric b-Metric Spaces, Gazi University Journal of Science 29(1) (2016) 95–107.
  • N. Taş, N. Y. Özgür, On Parametric S-Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings, Journal of Mathematics Article ID 4746732 (2016) 6 pages.
  • H. Hosseinzadeh, Fixed Point Theorems on Soft Metric Spaces, Journal of Fixed Point Theory and Applications 19(2) (2017) 1625–1647.
  • R. Bhardwaj, H. G. S. Kumar, B. K. Singh, Q. A. Kabir, P. Konak, Fixed Point Theorems in Soft Parametric Metric Space, Advances in Mathematics: Scientific Journal 9(12) (2020) 10189–10194.
  • S. Das, S. K. Samanta, Soft Metric, Annals of Fuzzy Mathematics and Informatics 6 (2013) 77–94.
  • Y. Tunçay, V. Çetkin, Parametric Soft Metric Spaces, in: U. Mutman, C. Özkale (Eds.), IV. The International Symposium on Engineering, Natural Sciences and Architecture, Kocaeli, Turkey, 2021, pp. 60–64.
  • D. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999) 19–31.
  • P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45 (2013) 555–562.
  • S. Das, S. K. Samanta, Soft Real Sets, Soft Real Numbers and Their Properties, Journal of Fuzzy Mathematics 20(3) (2012) 551–576.
  • A. Kharal, B. Ahmad, Mappings on Soft Classes, New Mathematics and Natural Computation 7(3) (2011) 471–481.
  • N. Y. Özgür, N. Taş, U. Çelik, New Fixed-Circle Results on S-metric Spaces, Bulletin of Mathematical Analysis and Applications 9(2) (2017) 10–23.
  • N. Taş, N. Y. Özgür, Some Fixed-Point Results on Parametric N_b-metric Spaces, Communications of Korean Mathematical Society 33(3) (2018) 943–960.
  • N. Y. Özgür, N. Taş, Some Fixed-Circle Theorems on Metric Spaces, Bulletin of the Malaysian Mathematical Sciences Society 42 (2019) 1433–1449.
There are 17 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Yeşim Tunçay This is me 0000-0003-2482-1658

Vildan Çetkin 0000-0003-3136-0124

Publication Date March 31, 2022
Submission Date January 24, 2022
Published in Issue Year 2022 Issue: 38

Cite

APA Tunçay, Y., & Çetkin, V. (2022). Fixed Soft Points on Parametric Soft Metric Spaces. Journal of New Theory(38), 42-51. https://doi.org/10.53570/jnt.1062268
AMA Tunçay Y, Çetkin V. Fixed Soft Points on Parametric Soft Metric Spaces. JNT. March 2022;(38):42-51. doi:10.53570/jnt.1062268
Chicago Tunçay, Yeşim, and Vildan Çetkin. “Fixed Soft Points on Parametric Soft Metric Spaces”. Journal of New Theory, no. 38 (March 2022): 42-51. https://doi.org/10.53570/jnt.1062268.
EndNote Tunçay Y, Çetkin V (March 1, 2022) Fixed Soft Points on Parametric Soft Metric Spaces. Journal of New Theory 38 42–51.
IEEE Y. Tunçay and V. Çetkin, “Fixed Soft Points on Parametric Soft Metric Spaces”, JNT, no. 38, pp. 42–51, March 2022, doi: 10.53570/jnt.1062268.
ISNAD Tunçay, Yeşim - Çetkin, Vildan. “Fixed Soft Points on Parametric Soft Metric Spaces”. Journal of New Theory 38 (March 2022), 42-51. https://doi.org/10.53570/jnt.1062268.
JAMA Tunçay Y, Çetkin V. Fixed Soft Points on Parametric Soft Metric Spaces. JNT. 2022;:42–51.
MLA Tunçay, Yeşim and Vildan Çetkin. “Fixed Soft Points on Parametric Soft Metric Spaces”. Journal of New Theory, no. 38, 2022, pp. 42-51, doi:10.53570/jnt.1062268.
Vancouver Tunçay Y, Çetkin V. Fixed Soft Points on Parametric Soft Metric Spaces. JNT. 2022(38):42-51.
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