Fixed Soft Points on Parametric Soft Metric Spaces

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

1. 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.
2. 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.
3. V. Çetkin, Parametric 2-Metric Spaces and Some Fixed Point Results, New Trends in Mathematical Sciences 7(4) (2019) 503–511.
4. Ö. Ege, İ. Karaca, Fixed Point Theorems and an Application in Parametric Metric Spaces, Azerbaijan Journal of Mathematics 7 (2017) 27–39.
5. 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.
6. 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.
7. H. Hosseinzadeh, Fixed Point Theorems on Soft Metric Spaces, Journal of Fixed Point Theory and Applications 19(2) (2017) 1625–1647.
8. 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.

9. S. Das, S. K. Samanta, Soft Metric, Annals of Fuzzy Mathematics and Informatics 6 (2013) 77–94.
10. 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.
11. D. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999) 19–31.
12. P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45 (2013) 555–562.
13. S. Das, S. K. Samanta, Soft Real Sets, Soft Real Numbers and Their Properties, Journal of Fuzzy Mathematics 20(3) (2012) 551–576.
14. A. Kharal, B. Ahmad, Mappings on Soft Classes, New Mathematics and Natural Computation 7(3) (2011) 471–481.
15. 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.
16. 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.
17. N. Y. Özgür, N. Taş, Some Fixed-Circle Theorems on Metric Spaces, Bulletin of the Malaysian Mathematical Sciences Society 42 (2019) 1433–1449.