Metric spaces are generalized to three variables and are termed as S-metric spaces, which, in turn, are extended to four variables and are termed as B4-metric spaces. Now we extend this notion to n-variables (n ≥ 4), which we name as Bn-metric spaces. We study novel contractive mappings on Bn-metric spaces and analyze relationships between them using examples and counterexamples as needed. Furthermore, we prove fixed point theorems for self-map on Bn-metric spaces.

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Fixed-Point Theorems on Bn-Metric Space

  • Ch. Srinivasa Rao,
  • S. Ravi Kumar,
  • K. K. M. Sarma

摘要

Metric spaces are generalized to three variables and are termed as S-metric spaces, which, in turn, are extended to four variables and are termed as B4-metric spaces. Now we extend this notion to n-variables (n ≥ 4), which we name as Bn-metric spaces. We study novel contractive mappings on Bn-metric spaces and analyze relationships between them using examples and counterexamples as needed. Furthermore, we prove fixed point theorems for self-map on Bn-metric spaces.