<p>In this paper, we prove an extended version of the Banach contraction principle for a single valued non-self mapping in a complete fuzzy metric space. Further, we extend the results to multivalued non-self mapping and give an application in fractal theory. In addition, we provide examples to support our main results.</p>

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Existence and uniqueness of fractals in fuzzy metric space via best proximity point

  • A. Sreelakshmi Unni,
  • V. Pragadeeswarar

摘要

In this paper, we prove an extended version of the Banach contraction principle for a single valued non-self mapping in a complete fuzzy metric space. Further, we extend the results to multivalued non-self mapping and give an application in fractal theory. In addition, we provide examples to support our main results.