Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces

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  • Mujahid Abbas1,
  • N. Saleem2,
  • K. Sohail1,
  1. Department of Mathematics, Government College University,Lahore 54000, Pakistan.
  2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

Published in Issue 2025-11-09

How to Cite

Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces. (2025). Communications in Nonlinear Analysis, 6(1). https://oiccpress.com/cna/article/view/17913

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Abstract

In this paper, we prove the existence of optimal coincidence point and best proximity point in b-fuzzymetric space for two mappings satisfying certain contractive conditions and prove some proximal theoremswhich provide the existence of an optimal approximate solution to some operator equations which are notsolvable. We also provide an application to the fixed point theory of our obtained results.

Keywords

  • Fuzzy metric space,
  • b-Fuzzy metric space,
  • Optimal approximate solution,
  • Fuzzy expansive,
  • Fuzzy isometry,
  • s-increasing sequence,
  • t-norm
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References

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