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Demonstration of New Extensions of Kannan and Chatterjea Fixed Point Theorems on Complete b-Metric Spaces

  • Krishna Bhattacharjee,
  • Rakhal Das,
  • Suman Das,
  • Carlos Granados

摘要

The theory of fixed points finds application in many branches of mathematics and other fields of study. It constitutes the principal impetus for the development of new results and the extension of previously established fixed-point theorems. This paper investigates generalizations on complete b-metric space using the Kannan and Chatterjea fixed point theorems. Additionally, we include a set of non-trivial examples that reinforce the validity of the results obtained in this work.