This chapter includes the study of various types of contraction and the development of the Banach contraction principle over the past hundred years. We also provide some results for the minimal commuting mappings satisfying a contractive condition involving cubic terms of distance functions. We will also provide an application related to our results.

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A Journey of Banach Contraction Principle Through Various Contractions Using Minimal Commutative Mappings

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

摘要

This chapter includes the study of various types of contraction and the development of the Banach contraction principle over the past hundred years. We also provide some results for the minimal commuting mappings satisfying a contractive condition involving cubic terms of distance functions. We will also provide an application related to our results.