This chapter aims to study the development of the Banach contraction principle in metric spaces and discusses results for compatible-type mappings that satisfy a contraction condition involving cubic terms of distance functions. Some applications are also presented.

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Advancements in the Banach Contraction Principle Within Metric Spaces

  • Sanjay Kumar,
  • Kavita,
  • Manish Jain,
  • Rajesh Kumar

摘要

This chapter aims to study the development of the Banach contraction principle in metric spaces and discusses results for compatible-type mappings that satisfy a contraction condition involving cubic terms of distance functions. Some applications are also presented.