Correlation of Altering JS-Metric with Dislocated Metric


  • Gnanachandra Paulraj Madurai Kamaraj University
  • X. M. Jeffin Varunnya Madurai Kamaraj University



Altering distance function, JS-metric space, Altering JS Metric s[pace, Dislocated metric space


The JS-metric space is a generalized metric space that was first established by Jleli and Samet in the year 2015. We have extended this metric with the aid of altering distance functions and commenced the concept of Altering JS-metric space. Hitzler and Seda introduced the idea of dislocated metric space in the year 2000. In this article, we have examined certain properties of the Altering JS-metric spaces and have discussed the interrelation between the dislocated metric space and the Altering JS-metric space.

Author Biography

X. M. Jeffin Varunnya, Madurai Kamaraj University

Centre for Research and Post Graduate Studies in Mathematics

Ayya Nadar Janaki Ammal College,

Sivakasi, Tamil Nadu, India


M.Jleli and B.Samet, A generalized metric space and related fixed point theorems, Fixed point theory and Applications, 61, (2015), 139-153. 0312-7

D.Delbosco, Un’estensione di un teorema sul punto fissi di S.Reich, Rend. Sem. Mat. Univers. Politecn. Torino, 35 (1976-77), 233-238.

F.Skof, Teorema di punti fisso per applicazioni negli spazi metrici, Atti, Accad. Sci. Torino, 111 (1977), 323-329.

P. Hitzler, A.K. Seda, Dislocated topologies, J. Electr. Eng., 51 (12) (2000), 3–7.

Varunnya X.M.J, Gnanachandra. P and Ananda Priya. B, Existence of Fixed Points

for Expansive Mappings in Complete Strong Altering JS-metric space, Baghdad Sci.J.

(1(SI))(2023), 326 - 331.

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

B.E. Rhoades, Some theorems on weakly contractive maps, Nonlinear Anal., 47 (2001), 2683- 2693.

S.V.R. Naidu, Some fixed point theorems in metric spaces by altering distances, Czechoslovak Math. J., 53 (2003), 205-212.

Hausdorff, Felix, Grundzüge der Mengenlehre, Leipzig Veit, (1914).

Fréchet, Maurice, Sur Quelques points du calcul fonctionnel, Rend. Circ. Matem.

Palermo, XXII (1906).

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