Outgrowth of Common Fixed-Point Theorem Using Property E.A. For A Pair of Weakly Compatible Mappings in Fuzzy Metric Space

Authors

  • S.K. Jain, Shoyeb Ali Sayyed

Keywords:

E.A. Property, Weakly Compatible, Altering Distance, Fuzzy Metric Space, Fixed Point Theorem

Abstract

In this review article, we have presented outgrowth of common fixed-point theorem using property E.A. for a pair of weakly compatible maps in fuzzy metric space. Our outcome is an enhancement of previous established results.

References

Aamri, M., El Moutawakil, D. Some new common fixed-point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002), 181-188.

Abbas, M., Altun, I. and Gopal, D. Common fixed-point theorems for non-compatible mappings in fuzzy metric spaces, Bulletin of Mathematical analysis and Applications 1 (2009), no. 2, 47-56.

Ankushrao,M.A. and Sayyed, S.A., Exploring applications of fixed point theory across mathematical spaces and equations, Monthly Baraheen , Vol. 15, Iss 177, 2201-2209,2023.

Fuller, R.neural fuzzy system., Abo Akademi University, Abo, ESF Series A:443(1995).

George, A., Veeramani, P. On some results in fuzzy metric spaces, Fuzzy sets Syst. 64 (1994), 395-399.

George, A., Veeramani, P. On some results of analysis for fuzzy metric spaces, Fuzzy sets Syst. 90 (1997), 365-368.

Grabiec, M. Fixed points in fuzzy metric spaces, Fuzzy sets and Systems 27(1998), no. 3, 385-389.

Gregori, V., Sapena, A. On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125(2002), 245-252.

Imdad, M., Ali J. and Hasan, M. Common fixed-point theorems in fuzzy metric spaces employing common property (E.A.), Mathematical and Computer Modelling 55(2012), 770-778.

Jain, S.K and Sayyed,S.A., Weak compatibility for four mappings and general common fixed point theorem , International Journal of Research and Analytical Reviews , Vol. 6, Issue 1,990-994(2019).

Jungck, G. Commuting mappings and fixed points, Amer. Math. Monthly 83(1976), 261-263.

Khan, MS., Swaleh, M. and Sessa, S. Fixed point theorems by altering distances between the points, Bull. Aust. Math. Soc. 30(1984), 1-9.

Kramosil, I., Michalek, J. Fuzzy metric and statistical metric spaces, Kybernetika 11(1975), 336-344.

Manthena, P. and Manchala, R., Common fixed-point theorems in fuzzy metric spaces using property E.A., NTMSCT, Vol.,6, No. 3 (2018) 174-180.

Mc Bratney, A., Odeh, IOA. Application of fuzzy sets in soil science: fuzzy logic, fuzzy measurements and fuzzy decisions, Geoderma 77(1997), 85- 113.

Mihet, D. Fixed point theorems in fuzzy metric spaces using property E.A., Nonlinear Analysis 73(2010), no. 1, 2184-2188.

Mane, S.P., and Sayyed,S.A., , (2021).Study on common fixed points theorems in fuzzy metric spaces, Tattva-Sindhu 16 ,15-32.

Mane, S.P., and Sayyed,S.A, Study on contractive maps with different types of fixed points , The Journal Of Oriental Research Madras, Vol. MMXXII- XCIII-II , 70-84, 2021

Pathak, H. K., Lopez, R. R. and Verma, R. K. A common fixed-point theorem using Implicit Relation and Property (E.A.) in Metric Spaces, Filomat 21(2007), no. 2, 211-234.

Romaguera, S., Sapena, A., Tirado, P. The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words, Topol. Appl. 154(2007), 2196-2203.

Sastry, K. P. R., Naidu, G. A. and Marthanda Krishna, K. Common fixed-point theorems for four self-maps on a fuzzy metric space satisfying common E.A. Property, Advances in Applied Science Research 6(2015), no. 10, 35-39.

Sayyed,S.A, “Some Results On Common Fixed Point For Multivalued And Compatible Maps”, Ultra Engineer , Vol.1 (2),191-194(2012).

SAYYED, S.A., (2022). Fuzzy metric space and sequel of common fixed point theorem using property E.A.,Journal of Mathematical Sciences & Computational Mathematics , Vol.3, No.2, 218-24,

Schweizer, B., Sklar, A. Statistical metric spaces, Pacific J. Math. 10(1960), no. 1, 313-334.

Sedghi, S., Shobe, N. and Aliouche, A. A common fixed-point theorem for weakly compatible mappings in fuzzy metric spaces, General Mathematics 18(2010), no. 3, 3-12.

Shen, Y., Qiu, D. and Chen, W. Fixed point theorems in fuzzy metric spaces. Applied Mathematics Letters 25(2012), no. 2, 138-141.

Shirude, M.T., Aage, C.T. Some Fixed-Point Theorems using Property E.A. in Fuzzy Metric Spaces, IJESC (2016), no 11, 3411-3414.

Steimann, F. On the use and usefulness of fuzzy sets in medical AI, Artificial Intelligence in Medicine 21(2001), 131-137.

Subrahmanyam, P. V. A common fixed-point theorem in fuzzy metric spaces, Inform. Sci 83(1995), no. 2, 109-112.

Vijayaraju, P., Sajath, Z.M.I. Some common fixed-point theorems in fuzzy metric spaces, International Journal of Mathematical Analysis 3(2009), no. 15, 701-710.

Wairojjana, N., Dosenovi c, T., Raki c, D., Gopal, D. and Kumam, P. An altering distance function in fuzzy metric fixed-point theorems, Fixed Point Theory and Applications (2015), 2015:69.

Zadeh, L. A. Fuzzy sets, Inf. Control 8(1965), 338-353.

Downloads

How to Cite

S.K. Jain, Shoyeb Ali Sayyed. (2026). Outgrowth of Common Fixed-Point Theorem Using Property E.A. For A Pair of Weakly Compatible Mappings in Fuzzy Metric Space. International Journal of Research & Technology, 14(1), 47–53. Retrieved from https://ijrt.org/j/article/view/853

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.