Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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


Affiliations
1 School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India
     

   Subscribe/Renew Journal


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.

Keywords

Fixed point, weakly compatible maps, property (E.A.), common property (E.A.).
Subscription Login to verify subscription
User
Notifications
Font Size


  • 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.

Abstract Views: 272

PDF Views: 0




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

Abstract Views: 272  |  PDF Views: 0

Authors

Saurabh Manro
School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India
Sumit Chandok
School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India

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.

Keywords


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

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26054