Some Contractive Type Mappings in b-metric Space

Authors

  • Varsha D. Borgaonkar P. G Department of Mathematics, N. E. S. Science College, Nanded 431602 (M.S.), India.
  • K. L. Bondar P. G Department of Mathematics, Govt. Vidarbh Institute of Science and Humanities, Amravati, India.
  • S. M. Jogdand Department of Mathematics, Shri Shivaji College of Arts, Commerce and Science, Kandhar, Nanded, India.

DOI:

https://doi.org/10.9734/bpi/rumcs/v1/20020D

Keywords:

b–metric space, completeness in b-metric space, Cauchy sequence, fixed point

Abstract

In this paper we prove that, the unique fixed point exists for a mapping satisfying the generalized contractive type conditions in b-metric space. Here the b-metric under consideration need not be continuous function whereas the metric is a continuous function. An example is also given for the verification of the result.

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Published

2024-03-06

How to Cite

Varsha D. Borgaonkar, K. L. Bondar, & S. M. Jogdand. (2024). Some Contractive Type Mappings in b-metric Space. Research Updates in Mathematics and Computer Science Vol. 1, 1–17. https://doi.org/10.9734/bpi/rumcs/v1/20020D

Issue

Research Updates in Mathematics and Computer Science Vol. 1

Section

Chapters