10.30495/maca.2023.1988334.1069

Fixed point theorems in bi-b-metric spaces

Show Details XML PDF
  • Pravin Kumar B. Prajapati1,
  • Ramakant Bhardwaj2,
  1. Science and Humanities Department, Government Polytechnic Valsad-396001, Gujarat, India
  2. Department of Mathematics, Amity University, Kolkata-WB700135, India

Published in Issue 2023-07-01

How to Cite

Fixed point theorems in bi-b-metric spaces. (2023). Mathematical Analysis and Its Contemporary Applications, 5(2). https://doi.org/10.30495/maca.2023.1988334.1069

PDF views: 14

Abstract

In this paper, we have proved the existence and uniqueness of common fixed point results in bi-b-metric space.

Keywords

  • b-metric space,
  • bi-metric space fixed point,
  • Continuous mapping
PDF

References

  1. Swati Agrawal,K.Qureshi,Nema Jyoti, A fixed point Theorem for b-Metric Space,International Journal of Pure and Applied Mathematical Sciences, 9(2016), 45-50.
  2. A. I. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal., 30 (1989), 26-37.
  3. D. Varsha Borgaonkar and L. K. Bondar, Fixed Point Theorems for a Family of Self-Map on Rings, IJSIMR, 2 (2010), 750-756.
  4. M. Boriceanu, Fixed Point theory for multivalued generalized contraction on a set with two b-Metric, Studia Univ Babe¸s Bolya 3 (2009), 1-14.
  5. C. V. Borkar, Common fixed point for nonexpansive type mappings with application, Acta Cinecia India, 4 (2010), 674-682.
  6. U. P. Chopade, Common fixed point theorem for sSome new generalized contractive mappings, Int. J. Math. Anal., 4 (2010), 1881-1890.
  7. S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inf. Univ. Ostrav, 1 (1993), 5-11.
  8. S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces, Atti Semin. Mat. Fis. Univ. Modena, 46 (1998), 263-276.
  9. M. Kir and H. Kiziltune, On some well known fixed point theorems in b-metric space, Turk. J. Anal. Number Theory, 1 (2013), 13-16.
  10. R. J. Roshan, Common Fixed Point of Four Maps in b-metric spaces, Hacettepe J. Math. Statist., 43 (2014), 613-624.
  11. S. Tomonari, Basic inequality on a b-metric space and it’s Aapplications, J. Inequal. Appl., 2017(2017), 2-11.
  12. K. G. Soni, Fixed Point Theorem in Bimetric Space, Res. J. Math. Statist. Sci. 27 (2015), 13-14.
  13. N. S. Mishra, Remarks on Some Fixed Point Theorems in Bimetric Spaces, Indian J. Pure Appl. Math. 9(12) (1979), 1271-1274.