Fixed point theorems for a class of extended JS contraction mappings over a generalized metric space with an application to fixed circle problema

Authors

  • Kushal Roy Maulana Abul Kalam Azad University of Technology.
  • Mantu Saha The University of Burdwan.

DOI:

https://doi.org/10.22199/issn.0717-6279-4363

Keywords:

extended JS-generalized metric space, weakly sensitive and strongly sensitive coefficient functions, extended JS-quasi contraction mapping, fixed point

Abstract

In this paper we prove some generalized fixed point theorems for a class of contractive mappings over an extended JS-generalized metric space. Notions of weakly sensitive and strongly sensitive coefficient functions have been used here in proving fixed point theorems. Examples are given in strengthening the hypothesis of our established theorems. Moreover an application is given to fixed circle problem.

Author Biographies

Kushal Roy, Maulana Abul Kalam Azad University of Technology.

Visiting Faculty, Department of Applied Mathematics.

Mantu Saha, The University of Burdwan.

Department of Mathematics

References

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Published

2022-11-14

How to Cite

[1]
K. Roy and M. Saha, “Fixed point theorems for a class of extended JS contraction mappings over a generalized metric space with an application to fixed circle problema”, Proyecciones (Antofagasta, On line), vol. 41, no. 6, pp. 1551-1572, Nov. 2022.

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Section

Artículos