A Critical Remark - Some Fixed Point Results Using Property (E.A.)

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Authors

  • School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004 ,IN
  • School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004 ,IN

DOI:

https://doi.org/10.18311/jims/2021/26054

Keywords:

Fixed point, weakly compatible maps, property (E.A.), common property (E.A.).

Abstract

The aim of this note is to point out some mistakes in some recent xed point results using property (E.A.). Also, we rectify these mistakes and improve the results.

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Published

2021-01-28

How to Cite

Manro, S., & Chandok, S. (2021). A Critical Remark - Some Fixed Point Results Using Property (E.A.). The Journal of the Indian Mathematical Society, 88(1-2), 146–154. https://doi.org/10.18311/jims/2021/26054
Received 2020-09-14
Accepted 2020-09-16
Published 2021-01-28

 

References

M. Akkouchi, A common xed point theorem for four maps using a Lipschitz type condition., An. St. Univ. Ovidius Constanta, 19(2011), 17-26.

M. Akkouchi, A common xed point theorem for two pairs of maps satisfying the property (E.A.), Matematica - Informatica - Fizica, 62(2010), 13-19.

A. Aliouche, Common xed point theorems via an implicit relation and new properties, Soochow J. Math., 33(2007) 593-601.

S. S. Bhatia, S. Manro and S. Kumar, Fixed point theorems for weakly compatible maps using E.A. property in fuzzy metric spaces satisfying contractive condition of integral type., Int. J. Contemp. Math. Sci., 5(2010), 2523-2528.

D. Gopal, M. Imdad and C. Vetro, Impact of common property (E.A.) on xed point theorems in fuzzy metric spaces., Fixed Point Theory Appl., 2011, Art. ID 297360.

S. Kumar, S. Chauhan and B. D. Pant, Common xed point theorem for noncompatible maps in probabilistic metric space, Surveys Math. Appl., 8(2013), 51-57.

W. Lui, J. Wu and Z. Li, Common xed points of single-valued and multivalued maps., Int. J. Math. Math. Sci., 19(2005), 3045-3055.

S. Manro and A. Tomar, Common xed point theorems for R-weakly commuting maps satisfying common property (E.A) in Intuitionistic fuzzy metric spaces using implicit relation, J. Indian Math. Soc., 82(2015) 79-95.

G. P. S. Rathore and B. Singh and K. Chauhan, Common xed point theorem governed by implicit relation and property (E. A.)., Internat. J. Innovative Res. Sci. Eng. Tech., 4(2015), 18624-18628.

H. Shojaei and K. Banaei and N. Shojaei, Fixed point theorems for weakly compatible maps under E.A. property in fuzzy 2-metric spaces., J. Math Com. Sci., 6(2013), 118-128.

S. Shukla and S. S. Pagey, Some common xed point results in complex valued metric spaces satisfying (E.A.) and (CLR)-property., Internat. J. Sci. Inno. Math. Res., 2(2014), 399-407.

M. Tanveer, M. Imdad, D. Gopal and D. K. Patel, Common xed point theorems in modied intuitionistic fuzzy metric spaces with common property (E.A.)., Fixed Point Theory Appl., 2012:36.