Existence Results for Integral Equations via Fixed Point Theorems in b-Metric Spaces

Authors

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

DOI:

https://doi.org/10.9734/bpi/rumcs/v8/457

Keywords:

Fixed point, Cauchy sequence, b-metric space, completeness, integral equations

Abstract

In this chapter, we have used the concept of b-metric space. This paper aims to obtain the common fixed point theorems for a mapping satisfying generalized contractive conditions utilizing the class of functions \(\mathcal{F}\) in b-metric space. Moreover, applications of the obtained results are discussed and studied by using an example.

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Published

2024-06-11

How to Cite

Varsha D. Borgaonkar, K. L. Bondar, & S. M. Jogdand. (2024). Existence Results for Integral Equations via Fixed Point Theorems in b-Metric Spaces. Research Updates in Mathematics and Computer Science Vol. 8, 17–28. https://doi.org/10.9734/bpi/rumcs/v8/457

Issue

Research Updates in Mathematics and Computer Science Vol. 8

Section

Chapters