Common Fixed Point Theorem for a Pair of Self Mappings in Dislocated Quasi b-Metric Space

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  • Durgesh Ojha1,
  • Mujeeb Ur Rahman2,
  1. School of Engineering, Pokhara University, Pokhara-30, Kaski, Nepal
  2. Department of Mathematics, Govt PG Jehanzeb college, Swat Kpt, Pakistan

Published in Issue 2025-11-09

How to Cite

Common Fixed Point Theorem for a Pair of Self Mappings in Dislocated Quasi b-Metric Space. (2025). Communications in Nonlinear Analysis, 12(2). https://oiccpress.com/cna/article/view/17883

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Abstract

This article will illustrate a common fixed point theorem for a pair of continuous self-mapping in the dislocated quasi-b-metric space framework. The established theorem extends and generalizes some well-known results given by Rahman et al. in [4]. Also, an example is given in support of the constructed result.

Keywords

  • b-metric space,
  • dislocated quasi b-metric space,
  • fixed point,
  • common fixed point,
  • self mapping
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References

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  2. [2] Czerwik S. Contraction mappings in b-metric spaces. Acta Math. Inf. Univ. Ostrav. 11 (1993), 5–11.
  3. [3] Panthi D. Some fixed point in dislocated and dislocated quasi metric space. PhD Dissertation, 2013.
  4. [4] Rahman M., Ali A., Aziz O., Rahman M. New common fixed point theorems in dislocated quasi-b-metric spaces. Commun. Nonlinear Anal. 11(1) (2023), 1–6.
  5. [5] Rahman M., Sarwar M. Dislocated quasi b-metric space and fixed point theorems. Electronic J. Math. Anal. Appl. 4(2) (2016), 16–24.
  6. [6] Rahman M. New fixed point theorems in dislocated quasi-b-metric spaces. Appl. Math. Inf. Sci. Lett. 5 (2017), 7–11.
  7. [7] Suanoom C., Klin-Eam C., and Suantai S. Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions. J. Nonlinear Sci. Appl. 9 (2016), 2779–2788.