Fixed Point Results in Modular b-Metric-like Spaces with an Application

BOSTAN N. U., Varol B. P.

AXIOMS, no.10, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.3390/axioms13100726
  • Journal Name: AXIOMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Kocaeli University Affiliated: Yes

Abstract

In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of xi-convergence, xi-Cauchy sequence, xi-completeness and xi-contraction. The existence and uniqueness of fixed points in the modular b-metric-like space are handled. Moreover, we give some examples and an application to an integral equation to illustrate the usability of the obtained results.