Have a personal or library account? Click to login
Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces Cover

Some new fixed point results in Intuitionistic fuzzy cone-b metric spaces

By: S. Kapoor,  V. Gupta and  A. Saini  
Open Access
|Jan 2024

References

  1. AAMRI, M., AND MOUTAWAKIL, EL. D. 2002. Some new common fixed point theorems under strict contractive conditions. J. Math. Anal. Appl. 270 (1), 181-188.
  2. ALACA, C., ALTUN, I., AND TURKOGLU, D. 2008. On compatible mappings of type (I) and (II) in IFM-spaces. Commun. Korean Math. Soc. 23 (3), 427-446.
  3. ALACA, C., TURKOGLU, D., AND YILDIZ, C. 2006. Fixed points in intuitionistic fuzzy metric spaces. Chaos, Solitons Fractals 29 (5), 1073-1078.
  4. ATANASSOV, K., 1986. Intuitionistic fuzzy set. Fuzzy Sets and Systems 20 (1), 87-96 (1986).
  5. AZAM, A. AND KANWAL, S. 2022. Introduction to Intuitionistic b-Metric Spaces and Fixed Point Results. Thai Journal of Mathematics, Volume 20(1), 141-163.
  6. BEG, I., VETRO, C., GOPAL, D., AND IMDAD, M. 2014. (ϕ, ψ)weak contractions in intuitionistic fuzzy metric spaces. J. Intelligent Fuzzy Sys. 8 (5), 2497C2504, 141-148.
  7. BEG, ISMAT, GUPTA, V., AND KANWAR, A. 2015. Fixed point theorem on Intuitionistic fuzzy metric spaces using E.A. property, J. Nonlinear Funct. Anal. Article ID 20.
  8. BEG, V, SEDGHI, S., AND SHOBE, N. 2013. Fixed point theorems in fuzzy metric spaces. Int. J. Anal., Article ID 934145.
  9. BRANCIARI. 2009. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math, Sci. Tech vol. 29(9), 531-536.
  10. CHAUHAN, S. SINGH, AND GUPTA, V. 2020. Banach contraction theorem on fuzzy cone b-metric space. Journal of Applied Research and Technology 18, 154-160.
  11. GEORGE, A., AND VEERAMANI, P. 1994. On some results in fuzzy metric spaces. Fuzzy Sets and Systems 6 (5), 336-344.
  12. GUPTA, V., AND MANI, N. 2014. Fixed point theorems using control function in fuzzy metric spaces. Cogent Math. 2 (1), Article ID 1053173.
  13. GUPTA, V., AND KANWAR, A. 2012. Fixed point theorem in fuzzy metric spaces satisfying E.A. property. Indian J. Sci. Tech. 5, 3767-3769.
  14. GUPTA, V., AND MANI, N. 2014. Existence and uniqueness of fixed point in fuzzy metric spaces and its applications. Advances in Intelligent Systems and Computing, Springer 236, 217-224.
  15. JUNGCK, G. 1984. Compatible mappings and common fixed points. Int. J. Math Sci. 9 (4), 771-779.
  16. KAPOOR S., AND GUPTA, V. 2023. Intuitionistic Fuzzy Cone-b Metric Space and Some New Fixed Point Results. accepted.
  17. KRAMOSIL, I., AND MICHALEK, J. 1975. Fuzzy metric and Statistical metric spaces. Kybernetica11(5), 326-334.
  18. ONER, T., KANDEMIR, M. B., AND TANAY, B. 2015. Fuzzy cone metric spaces. Journal of Nonlinear Sciences and Applications, 8(5), 610-616.
  19. SESSA, S. 1982. On a weak commutative condition in fixed point consideration. Publ. Inst. Math. 32 (52), 146-153.
  20. SHARMA, S., AND DESHPANDE, B. 2009. Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces. Chaos, Solitons Fractals, 40 (5), 2242-2256.
  21. REZAPOUR SH., HALMBARANI R., 2008. Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”, J. Math. Anal. Appl., 345, 719-724.
  22. TURKOGLU, D., ALACA, C., AND YILDIZ, C. 2006. Compatible maps and Compatible maps of type (a) and (b) in intuitionistic fuzzy metric spaces. Demonstration Math. 39 (2006), 671-684.
  23. TURKOGLU, D., ALACA, C., CHO, Y.J., AND YILDIZ, C. 2006. Common fixed points in intuitionistic fuzzy metric spaces. J. Appl. Math. Comput 22. 411-424.
  24. VIJAYARAJU, P., AND SAJATH, Z. M. I. 2009. Some common fixed point theorems in fuzzy metric spaces. Int. J. of Math. Anal. Ruse 3 (15), 701-710.
  25. ZADEH, L.A., 1965. Fuzzy Sets. Information and Control 8 (3), 338-353.
DOI: https://doi.org/10.2478/jamsi-2023-0009 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180
Language: English
Page range: 39 - 56
Submitted on: Jul 1, 2023
|
Published on: Jan 6, 2024
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2024 S. Kapoor, V. Gupta, A. Saini, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.